What is the Least Common Multiple of 87360 and 87372?

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 87360 and 87372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87360 and 87372, than apply into the LCM equation.

GCF(87360,87372) = 12
LCM(87360,87372) = ( 87360 × 87372) / 12
LCM(87360,87372) = 7632817920 / 12
LCM(87360,87372) = 636068160

Least Common Multiple (LCM) of 87360 and 87372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87360 and 87372. First we will calculate the prime factors of 87360 and 87372.

Prime Factorization of 87360

Prime Factorization of 87372

Now multiplying the highest exponent prime factors to calculate the LCM of 87360 and 87372.

LCM(87360,87372) = 2⁶ × 3³ × 5¹ × 7¹ × 13¹ × 809¹
LCM(87360,87372) = 636068160