What is the Least Common Multiple of 69972 and 69978?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 69972 and 69978 is 816083436.
LCM(69972,69978) = 816083436
Least Common Multiple of 69972 and 69978 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69972 and 69978, than apply into the LCM equation.
GCF(69972,69978) = 6
LCM(69972,69978) = ( 69972 × 69978) / 6
LCM(69972,69978) = 4896500616 / 6
LCM(69972,69978) = 816083436
Least Common Multiple (LCM) of 69972 and 69978 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69972 and 69978. First we will calculate the prime factors of 69972 and 69978.
Prime Factorization of 69972
Prime factors of 69972 are 2, 3, 7, 17. Prime factorization of 69972 in exponential form is:
69972 = 22 × 31 × 73 × 171
Prime Factorization of 69978
Prime factors of 69978 are 2, 3, 107, 109. Prime factorization of 69978 in exponential form is:
69978 = 21 × 31 × 1071 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 69972 and 69978.
LCM(69972,69978) = 22 × 31 × 73 × 171 × 1071 × 1091
LCM(69972,69978) = 816083436
Related Least Common Multiples of 69972
- LCM of 69972 and 69976
- LCM of 69972 and 69977
- LCM of 69972 and 69978
- LCM of 69972 and 69979
- LCM of 69972 and 69980
- LCM of 69972 and 69981
- LCM of 69972 and 69982
- LCM of 69972 and 69983
- LCM of 69972 and 69984
- LCM of 69972 and 69985
- LCM of 69972 and 69986
- LCM of 69972 and 69987
- LCM of 69972 and 69988
- LCM of 69972 and 69989
- LCM of 69972 and 69990
- LCM of 69972 and 69991
- LCM of 69972 and 69992
Related Least Common Multiples of 69978
- LCM of 69978 and 69982
- LCM of 69978 and 69983
- LCM of 69978 and 69984
- LCM of 69978 and 69985
- LCM of 69978 and 69986
- LCM of 69978 and 69987
- LCM of 69978 and 69988
- LCM of 69978 and 69989
- LCM of 69978 and 69990
- LCM of 69978 and 69991
- LCM of 69978 and 69992
- LCM of 69978 and 69993
- LCM of 69978 and 69994
- LCM of 69978 and 69995
- LCM of 69978 and 69996
- LCM of 69978 and 69997
- LCM of 69978 and 69998