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What is the Least Common Multiple of 95144 and 95154?

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 95144 and 95154 is 4526666088.

LCM(95144,95154) = 4526666088

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Least Common Multiple of 95144 and 95154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95144 and 95154, than apply into the LCM equation.

GCF(95144,95154) = 2
LCM(95144,95154) = ( 95144 × 95154) / 2
LCM(95144,95154) = 9053332176 / 2
LCM(95144,95154) = 4526666088

Least Common Multiple (LCM) of 95144 and 95154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95144 and 95154. First we will calculate the prime factors of 95144 and 95154.

Prime Factorization of 95144

Prime factors of 95144 are 2, 7, 1699. Prime factorization of 95144 in exponential form is:

95144 = 23 × 71 × 16991

Prime Factorization of 95154

Prime factors of 95154 are 2, 3, 15859. Prime factorization of 95154 in exponential form is:

95154 = 21 × 31 × 158591

Now multiplying the highest exponent prime factors to calculate the LCM of 95144 and 95154.

LCM(95144,95154) = 23 × 71 × 16991 × 31 × 158591
LCM(95144,95154) = 4526666088