GCF and LCM Calculator Logo

What is the Least Common Multiple of 95521 and 95532?

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 95521 and 95532 is 9125312172.

LCM(95521,95532) = 9125312172

LCM Calculator and
and

Least Common Multiple of 95521 and 95532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95521 and 95532, than apply into the LCM equation.

GCF(95521,95532) = 1
LCM(95521,95532) = ( 95521 × 95532) / 1
LCM(95521,95532) = 9125312172 / 1
LCM(95521,95532) = 9125312172

Least Common Multiple (LCM) of 95521 and 95532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95521 and 95532. First we will calculate the prime factors of 95521 and 95532.

Prime Factorization of 95521

Prime factors of 95521 are 59, 1619. Prime factorization of 95521 in exponential form is:

95521 = 591 × 16191

Prime Factorization of 95532

Prime factors of 95532 are 2, 3, 19, 419. Prime factorization of 95532 in exponential form is:

95532 = 22 × 31 × 191 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 95521 and 95532.

LCM(95521,95532) = 591 × 16191 × 22 × 31 × 191 × 4191
LCM(95521,95532) = 9125312172