GCF and LCM Calculator Logo

What is the Least Common Multiple of 95208 and 95226?

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 95208 and 95226 is 1511046168.

LCM(95208,95226) = 1511046168

LCM Calculator and
and

Least Common Multiple of 95208 and 95226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95208 and 95226, than apply into the LCM equation.

GCF(95208,95226) = 6
LCM(95208,95226) = ( 95208 × 95226) / 6
LCM(95208,95226) = 9066277008 / 6
LCM(95208,95226) = 1511046168

Least Common Multiple (LCM) of 95208 and 95226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95208 and 95226. First we will calculate the prime factors of 95208 and 95226.

Prime Factorization of 95208

Prime factors of 95208 are 2, 3, 3967. Prime factorization of 95208 in exponential form is:

95208 = 23 × 31 × 39671

Prime Factorization of 95226

Prime factors of 95226 are 2, 3, 59, 269. Prime factorization of 95226 in exponential form is:

95226 = 21 × 31 × 591 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 95208 and 95226.

LCM(95208,95226) = 23 × 31 × 39671 × 591 × 2691
LCM(95208,95226) = 1511046168