What is the Least Common Multiple of 87540 and 87548?

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 87548 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 87548, than apply into the LCM equation.

GCF(87540,87548) = 4
LCM(87540,87548) = ( 87540 × 87548) / 4
LCM(87540,87548) = 7663951920 / 4
LCM(87540,87548) = 1915987980

Least Common Multiple (LCM) of 87540 and 87548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87540 and 87548. First we will calculate the prime factors of 87540 and 87548.

Prime Factorization of 87540

Prime Factorization of 87548

Now multiplying the highest exponent prime factors to calculate the LCM of 87540 and 87548.

LCM(87540,87548) = 2² × 3¹ × 5¹ × 1459¹ × 43¹ × 509¹
LCM(87540,87548) = 1915987980