GCF and LCM Calculator Logo

What is the Least Common Multiple of 95358 and 95364?

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 95358 and 95364 is 1515620052.

LCM(95358,95364) = 1515620052

LCM Calculator and
and

Least Common Multiple of 95358 and 95364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95358 and 95364, than apply into the LCM equation.

GCF(95358,95364) = 6
LCM(95358,95364) = ( 95358 × 95364) / 6
LCM(95358,95364) = 9093720312 / 6
LCM(95358,95364) = 1515620052

Least Common Multiple (LCM) of 95358 and 95364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95358 and 95364. First we will calculate the prime factors of 95358 and 95364.

Prime Factorization of 95358

Prime factors of 95358 are 2, 3, 23, 691. Prime factorization of 95358 in exponential form is:

95358 = 21 × 31 × 231 × 6911

Prime Factorization of 95364

Prime factors of 95364 are 2, 3, 883. Prime factorization of 95364 in exponential form is:

95364 = 22 × 33 × 8831

Now multiplying the highest exponent prime factors to calculate the LCM of 95358 and 95364.

LCM(95358,95364) = 22 × 33 × 231 × 6911 × 8831
LCM(95358,95364) = 1515620052