What is the Least Common Multiple of 87540 and 87558?

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 87558 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 87558, than apply into the LCM equation.

GCF(87540,87558) = 6
LCM(87540,87558) = ( 87540 × 87558) / 6
LCM(87540,87558) = 7664827320 / 6
LCM(87540,87558) = 1277471220

Least Common Multiple (LCM) of 87540 and 87558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87540 and 87558. First we will calculate the prime factors of 87540 and 87558.

Prime Factorization of 87540

Prime Factorization of 87558

Now multiplying the highest exponent prime factors to calculate the LCM of 87540 and 87558.

LCM(87540,87558) = 2² × 3¹ × 5¹ × 1459¹ × 14593¹
LCM(87540,87558) = 1277471220