What is the Least Common Multiple of 95544 and 95562?

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 95544 and 95562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95544 and 95562, than apply into the LCM equation.

GCF(95544,95562) = 18
LCM(95544,95562) = ( 95544 × 95562) / 18
LCM(95544,95562) = 9130375728 / 18
LCM(95544,95562) = 507243096

Least Common Multiple (LCM) of 95544 and 95562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95544 and 95562. First we will calculate the prime factors of 95544 and 95562.

Prime Factorization of 95544

Prime Factorization of 95562

Now multiplying the highest exponent prime factors to calculate the LCM of 95544 and 95562.

LCM(95544,95562) = 2³ × 3² × 1327¹ × 5309¹
LCM(95544,95562) = 507243096