What is the Least Common Multiple of 87336 and 87348?

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 87336 and 87348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87336 and 87348, than apply into the LCM equation.

GCF(87336,87348) = 12
LCM(87336,87348) = ( 87336 × 87348) / 12
LCM(87336,87348) = 7628624928 / 12
LCM(87336,87348) = 635718744

Least Common Multiple (LCM) of 87336 and 87348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87336 and 87348. First we will calculate the prime factors of 87336 and 87348.

Prime Factorization of 87336

Prime Factorization of 87348

Now multiplying the highest exponent prime factors to calculate the LCM of 87336 and 87348.

LCM(87336,87348) = 2³ × 3² × 1213¹ × 29¹ × 251¹
LCM(87336,87348) = 635718744