What is the Least Common Multiple of 87117 and 87132?

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 87117 and 87132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87117 and 87132, than apply into the LCM equation.

GCF(87117,87132) = 3
LCM(87117,87132) = ( 87117 × 87132) / 3
LCM(87117,87132) = 7590678444 / 3
LCM(87117,87132) = 2530226148

Least Common Multiple (LCM) of 87117 and 87132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87117 and 87132. First we will calculate the prime factors of 87117 and 87132.

Prime Factorization of 87117

Prime Factorization of 87132

Now multiplying the highest exponent prime factors to calculate the LCM of 87117 and 87132.

LCM(87117,87132) = 3¹ × 71¹ × 409¹ × 2² × 53¹ × 137¹
LCM(87117,87132) = 2530226148