What is the Least Common Multiple of 87180 and 87192?

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 87180 and 87192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87180 and 87192, than apply into the LCM equation.

GCF(87180,87192) = 12
LCM(87180,87192) = ( 87180 × 87192) / 12
LCM(87180,87192) = 7601398560 / 12
LCM(87180,87192) = 633449880

Least Common Multiple (LCM) of 87180 and 87192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87180 and 87192. First we will calculate the prime factors of 87180 and 87192.

Prime Factorization of 87180

Prime Factorization of 87192

Now multiplying the highest exponent prime factors to calculate the LCM of 87180 and 87192.

LCM(87180,87192) = 2³ × 3² × 5¹ × 1453¹ × 7¹ × 173¹
LCM(87180,87192) = 633449880