What is the Least Common Multiple of 87600 and 87620?

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 87600 and 87620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87600 and 87620, than apply into the LCM equation.

GCF(87600,87620) = 20
LCM(87600,87620) = ( 87600 × 87620) / 20
LCM(87600,87620) = 7675512000 / 20
LCM(87600,87620) = 383775600

Least Common Multiple (LCM) of 87600 and 87620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87600 and 87620. First we will calculate the prime factors of 87600 and 87620.

Prime Factorization of 87600

Prime Factorization of 87620

Now multiplying the highest exponent prime factors to calculate the LCM of 87600 and 87620.

LCM(87600,87620) = 2⁴ × 3¹ × 5² × 73¹ × 13¹ × 337¹
LCM(87600,87620) = 383775600