What is the Least Common Multiple of 95536 and 95547?

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 of 95536 and 95547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95536 and 95547, than apply into the LCM equation.

GCF(95536,95547) = 1
LCM(95536,95547) = ( 95536 × 95547) / 1
LCM(95536,95547) = 9128178192 / 1
LCM(95536,95547) = 9128178192

Least Common Multiple (LCM) of 95536 and 95547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95536 and 95547. First we will calculate the prime factors of 95536 and 95547.

Prime Factorization of 95536

Prime Factorization of 95547

Now multiplying the highest exponent prime factors to calculate the LCM of 95536 and 95547.

LCM(95536,95547) = 2⁴ × 7¹ × 853¹ × 3¹ × 31849¹
LCM(95536,95547) = 9128178192