What is the Least Common Multiple of 87740 and 87746?

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 87740 and 87746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87740 and 87746, than apply into the LCM equation.

GCF(87740,87746) = 2
LCM(87740,87746) = ( 87740 × 87746) / 2
LCM(87740,87746) = 7698834040 / 2
LCM(87740,87746) = 3849417020

Least Common Multiple (LCM) of 87740 and 87746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87740 and 87746. First we will calculate the prime factors of 87740 and 87746.

Prime Factorization of 87740

Prime Factorization of 87746

Now multiplying the highest exponent prime factors to calculate the LCM of 87740 and 87746.

LCM(87740,87746) = 2² × 5¹ × 41¹ × 107¹ × 73¹ × 601¹
LCM(87740,87746) = 3849417020