What is the Least Common Multiple of 55144 and 55157?
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 55144 and 55157 is 3041577608.
LCM(55144,55157) = 3041577608
Least Common Multiple of 55144 and 55157 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55144 and 55157, than apply into the LCM equation.
GCF(55144,55157) = 1
LCM(55144,55157) = ( 55144 × 55157) / 1
LCM(55144,55157) = 3041577608 / 1
LCM(55144,55157) = 3041577608
Least Common Multiple (LCM) of 55144 and 55157 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55144 and 55157. First we will calculate the prime factors of 55144 and 55157.
Prime Factorization of 55144
Prime factors of 55144 are 2, 61, 113. Prime factorization of 55144 in exponential form is:
55144 = 23 × 611 × 1131
Prime Factorization of 55157
Prime factors of 55157 are 19, 2903. Prime factorization of 55157 in exponential form is:
55157 = 191 × 29031
Now multiplying the highest exponent prime factors to calculate the LCM of 55144 and 55157.
LCM(55144,55157) = 23 × 611 × 1131 × 191 × 29031
LCM(55144,55157) = 3041577608
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