What is the Least Common Multiple of 87540 and 87550?

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 87540 and 87550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87540 and 87550, than apply into the LCM equation.

GCF(87540,87550) = 10
LCM(87540,87550) = ( 87540 × 87550) / 10
LCM(87540,87550) = 7664127000 / 10
LCM(87540,87550) = 766412700

Least Common Multiple (LCM) of 87540 and 87550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87540 and 87550. First we will calculate the prime factors of 87540 and 87550.

Prime Factorization of 87540

Prime Factorization of 87550

Now multiplying the highest exponent prime factors to calculate the LCM of 87540 and 87550.

LCM(87540,87550) = 2² × 3¹ × 5² × 1459¹ × 17¹ × 103¹
LCM(87540,87550) = 766412700