What is the Least Common Multiple of 87720 and 87740?

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 87720 and 87740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87720 and 87740, than apply into the LCM equation.

GCF(87720,87740) = 20
LCM(87720,87740) = ( 87720 × 87740) / 20
LCM(87720,87740) = 7696552800 / 20
LCM(87720,87740) = 384827640

Least Common Multiple (LCM) of 87720 and 87740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87720 and 87740. First we will calculate the prime factors of 87720 and 87740.

Prime Factorization of 87720

Prime Factorization of 87740

Now multiplying the highest exponent prime factors to calculate the LCM of 87720 and 87740.

LCM(87720,87740) = 2³ × 3¹ × 5¹ × 17¹ × 43¹ × 41¹ × 107¹
LCM(87720,87740) = 384827640