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What is the Least Common Multiple of 95138 and 95152?

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 95138 and 95152 is 4526285488.

LCM(95138,95152) = 4526285488

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Least Common Multiple of 95138 and 95152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95138 and 95152, than apply into the LCM equation.

GCF(95138,95152) = 2
LCM(95138,95152) = ( 95138 × 95152) / 2
LCM(95138,95152) = 9052570976 / 2
LCM(95138,95152) = 4526285488

Least Common Multiple (LCM) of 95138 and 95152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95138 and 95152. First we will calculate the prime factors of 95138 and 95152.

Prime Factorization of 95138

Prime factors of 95138 are 2, 47569. Prime factorization of 95138 in exponential form is:

95138 = 21 × 475691

Prime Factorization of 95152

Prime factors of 95152 are 2, 19, 313. Prime factorization of 95152 in exponential form is:

95152 = 24 × 191 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 95138 and 95152.

LCM(95138,95152) = 24 × 475691 × 191 × 3131
LCM(95138,95152) = 4526285488