What is the Least Common Multiple of 87339 and 87347?

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 87339 and 87347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87339 and 87347, than apply into the LCM equation.

GCF(87339,87347) = 1
LCM(87339,87347) = ( 87339 × 87347) / 1
LCM(87339,87347) = 7628799633 / 1
LCM(87339,87347) = 7628799633

Least Common Multiple (LCM) of 87339 and 87347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87339 and 87347. First we will calculate the prime factors of 87339 and 87347.

Prime Factorization of 87339

Prime Factorization of 87347

Now multiplying the highest exponent prime factors to calculate the LCM of 87339 and 87347.

LCM(87339,87347) = 3¹ × 7¹ × 4159¹ × 13¹ × 6719¹
LCM(87339,87347) = 7628799633