What is the Least Common Multiple of 87520 and 87540?

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 87520 and 87540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87520 and 87540, than apply into the LCM equation.

GCF(87520,87540) = 20
LCM(87520,87540) = ( 87520 × 87540) / 20
LCM(87520,87540) = 7661500800 / 20
LCM(87520,87540) = 383075040

Least Common Multiple (LCM) of 87520 and 87540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87520 and 87540. First we will calculate the prime factors of 87520 and 87540.

Prime Factorization of 87520

Prime Factorization of 87540

Now multiplying the highest exponent prime factors to calculate the LCM of 87520 and 87540.

LCM(87520,87540) = 2⁵ × 5¹ × 547¹ × 3¹ × 1459¹
LCM(87520,87540) = 383075040