What is the Least Common Multiple of 19953 and 19972?
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 19953 and 19972 is 398501316.
LCM(19953,19972) = 398501316
Least Common Multiple of 19953 and 19972 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19953 and 19972, than apply into the LCM equation.
GCF(19953,19972) = 1
LCM(19953,19972) = ( 19953 × 19972) / 1
LCM(19953,19972) = 398501316 / 1
LCM(19953,19972) = 398501316
Least Common Multiple (LCM) of 19953 and 19972 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 19953 and 19972. First we will calculate the prime factors of 19953 and 19972.
Prime Factorization of 19953
Prime factors of 19953 are 3, 739. Prime factorization of 19953 in exponential form is:
19953 = 33 × 7391
Prime Factorization of 19972
Prime factors of 19972 are 2, 4993. Prime factorization of 19972 in exponential form is:
19972 = 22 × 49931
Now multiplying the highest exponent prime factors to calculate the LCM of 19953 and 19972.
LCM(19953,19972) = 33 × 7391 × 22 × 49931
LCM(19953,19972) = 398501316
Related Least Common Multiples of 19953
- LCM of 19953 and 19957
- LCM of 19953 and 19958
- LCM of 19953 and 19959
- LCM of 19953 and 19960
- LCM of 19953 and 19961
- LCM of 19953 and 19962
- LCM of 19953 and 19963
- LCM of 19953 and 19964
- LCM of 19953 and 19965
- LCM of 19953 and 19966
- LCM of 19953 and 19967
- LCM of 19953 and 19968
- LCM of 19953 and 19969
- LCM of 19953 and 19970
- LCM of 19953 and 19971
- LCM of 19953 and 19972
- LCM of 19953 and 19973
Related Least Common Multiples of 19972
- LCM of 19972 and 19976
- LCM of 19972 and 19977
- LCM of 19972 and 19978
- LCM of 19972 and 19979
- LCM of 19972 and 19980
- LCM of 19972 and 19981
- LCM of 19972 and 19982
- LCM of 19972 and 19983
- LCM of 19972 and 19984
- LCM of 19972 and 19985
- LCM of 19972 and 19986
- LCM of 19972 and 19987
- LCM of 19972 and 19988
- LCM of 19972 and 19989
- LCM of 19972 and 19990
- LCM of 19972 and 19991
- LCM of 19972 and 19992