GCF and LCM Calculator Logo

What is the Least Common Multiple of 95118 and 95125?

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 95118 and 95125 is 9048099750.

LCM(95118,95125) = 9048099750

LCM Calculator and
and

Least Common Multiple of 95118 and 95125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95118 and 95125, than apply into the LCM equation.

GCF(95118,95125) = 1
LCM(95118,95125) = ( 95118 × 95125) / 1
LCM(95118,95125) = 9048099750 / 1
LCM(95118,95125) = 9048099750

Least Common Multiple (LCM) of 95118 and 95125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95118 and 95125. First we will calculate the prime factors of 95118 and 95125.

Prime Factorization of 95118

Prime factors of 95118 are 2, 3, 83, 191. Prime factorization of 95118 in exponential form is:

95118 = 21 × 31 × 831 × 1911

Prime Factorization of 95125

Prime factors of 95125 are 5, 761. Prime factorization of 95125 in exponential form is:

95125 = 53 × 7611

Now multiplying the highest exponent prime factors to calculate the LCM of 95118 and 95125.

LCM(95118,95125) = 21 × 31 × 831 × 1911 × 53 × 7611
LCM(95118,95125) = 9048099750