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What is the Least Common Multiple of 95188 and 95196?

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 95188 and 95196 is 2265379212.

LCM(95188,95196) = 2265379212

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Least Common Multiple of 95188 and 95196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95188 and 95196, than apply into the LCM equation.

GCF(95188,95196) = 4
LCM(95188,95196) = ( 95188 × 95196) / 4
LCM(95188,95196) = 9061516848 / 4
LCM(95188,95196) = 2265379212

Least Common Multiple (LCM) of 95188 and 95196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95188 and 95196. First we will calculate the prime factors of 95188 and 95196.

Prime Factorization of 95188

Prime factors of 95188 are 2, 53, 449. Prime factorization of 95188 in exponential form is:

95188 = 22 × 531 × 4491

Prime Factorization of 95196

Prime factors of 95196 are 2, 3, 7933. Prime factorization of 95196 in exponential form is:

95196 = 22 × 31 × 79331

Now multiplying the highest exponent prime factors to calculate the LCM of 95188 and 95196.

LCM(95188,95196) = 22 × 531 × 4491 × 31 × 79331
LCM(95188,95196) = 2265379212