What is the Least Common Multiple of 87339 and 87345?

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 87345 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 87345, than apply into the LCM equation.

GCF(87339,87345) = 3
LCM(87339,87345) = ( 87339 × 87345) / 3
LCM(87339,87345) = 7628624955 / 3
LCM(87339,87345) = 2542874985

Least Common Multiple (LCM) of 87339 and 87345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87339 and 87345. First we will calculate the prime factors of 87339 and 87345.

Prime Factorization of 87339

Prime Factorization of 87345

Now multiplying the highest exponent prime factors to calculate the LCM of 87339 and 87345.

LCM(87339,87345) = 3³ × 7¹ × 4159¹ × 5¹ × 647¹
LCM(87339,87345) = 2542874985