What is the Least Common Multiple of 95157 and 95168?
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 95157 and 95168 is 9055901376.
LCM(95157,95168) = 9055901376
Least Common Multiple of 95157 and 95168 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95157 and 95168, than apply into the LCM equation.
GCF(95157,95168) = 1
LCM(95157,95168) = ( 95157 × 95168) / 1
LCM(95157,95168) = 9055901376 / 1
LCM(95157,95168) = 9055901376
Least Common Multiple (LCM) of 95157 and 95168 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95157 and 95168. First we will calculate the prime factors of 95157 and 95168.
Prime Factorization of 95157
Prime factors of 95157 are 3, 97, 109. Prime factorization of 95157 in exponential form is:
95157 = 32 × 971 × 1091
Prime Factorization of 95168
Prime factors of 95168 are 2, 1487. Prime factorization of 95168 in exponential form is:
95168 = 26 × 14871
Now multiplying the highest exponent prime factors to calculate the LCM of 95157 and 95168.
LCM(95157,95168) = 32 × 971 × 1091 × 26 × 14871
LCM(95157,95168) = 9055901376
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