What is the Least Common Multiple of 87320 and 87335?

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 87320 and 87335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87320 and 87335, than apply into the LCM equation.

GCF(87320,87335) = 5
LCM(87320,87335) = ( 87320 × 87335) / 5
LCM(87320,87335) = 7626092200 / 5
LCM(87320,87335) = 1525218440

Least Common Multiple (LCM) of 87320 and 87335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87320 and 87335. First we will calculate the prime factors of 87320 and 87335.

Prime Factorization of 87320

Prime Factorization of 87335

Now multiplying the highest exponent prime factors to calculate the LCM of 87320 and 87335.

LCM(87320,87335) = 2³ × 5¹ × 37¹ × 59¹ × 17467¹
LCM(87320,87335) = 1525218440