What is the Least Common Multiple of 55157 and 55164?
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 55157 and 55164 is 3042680748.
LCM(55157,55164) = 3042680748
Least Common Multiple of 55157 and 55164 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55157 and 55164, than apply into the LCM equation.
GCF(55157,55164) = 1
LCM(55157,55164) = ( 55157 × 55164) / 1
LCM(55157,55164) = 3042680748 / 1
LCM(55157,55164) = 3042680748
Least Common Multiple (LCM) of 55157 and 55164 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55157 and 55164. First we will calculate the prime factors of 55157 and 55164.
Prime Factorization of 55157
Prime factors of 55157 are 19, 2903. Prime factorization of 55157 in exponential form is:
55157 = 191 × 29031
Prime Factorization of 55164
Prime factors of 55164 are 2, 3, 4597. Prime factorization of 55164 in exponential form is:
55164 = 22 × 31 × 45971
Now multiplying the highest exponent prime factors to calculate the LCM of 55157 and 55164.
LCM(55157,55164) = 191 × 29031 × 22 × 31 × 45971
LCM(55157,55164) = 3042680748
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