What is the Least Common Multiple of 4961 and 4978?
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 4961 and 4978 is 24695858.
LCM(4961,4978) = 24695858
Least Common Multiple of 4961 and 4978 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4961 and 4978, than apply into the LCM equation.
GCF(4961,4978) = 1
LCM(4961,4978) = ( 4961 × 4978) / 1
LCM(4961,4978) = 24695858 / 1
LCM(4961,4978) = 24695858
Least Common Multiple (LCM) of 4961 and 4978 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4961 and 4978. First we will calculate the prime factors of 4961 and 4978.
Prime Factorization of 4961
Prime factors of 4961 are 11, 41. Prime factorization of 4961 in exponential form is:
4961 = 112 × 411
Prime Factorization of 4978
Prime factors of 4978 are 2, 19, 131. Prime factorization of 4978 in exponential form is:
4978 = 21 × 191 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 4961 and 4978.
LCM(4961,4978) = 112 × 411 × 21 × 191 × 1311
LCM(4961,4978) = 24695858
Related Least Common Multiples of 4961
- LCM of 4961 and 4965
- LCM of 4961 and 4966
- LCM of 4961 and 4967
- LCM of 4961 and 4968
- LCM of 4961 and 4969
- LCM of 4961 and 4970
- LCM of 4961 and 4971
- LCM of 4961 and 4972
- LCM of 4961 and 4973
- LCM of 4961 and 4974
- LCM of 4961 and 4975
- LCM of 4961 and 4976
- LCM of 4961 and 4977
- LCM of 4961 and 4978
- LCM of 4961 and 4979
- LCM of 4961 and 4980
- LCM of 4961 and 4981
Related Least Common Multiples of 4978
- LCM of 4978 and 4982
- LCM of 4978 and 4983
- LCM of 4978 and 4984
- LCM of 4978 and 4985
- LCM of 4978 and 4986
- LCM of 4978 and 4987
- LCM of 4978 and 4988
- LCM of 4978 and 4989
- LCM of 4978 and 4990
- LCM of 4978 and 4991
- LCM of 4978 and 4992
- LCM of 4978 and 4993
- LCM of 4978 and 4994
- LCM of 4978 and 4995
- LCM of 4978 and 4996
- LCM of 4978 and 4997
- LCM of 4978 and 4998