What is the Least Common Multiple of 87460 and 87464?

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 87460 and 87464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87460 and 87464, than apply into the LCM equation.

GCF(87460,87464) = 4
LCM(87460,87464) = ( 87460 × 87464) / 4
LCM(87460,87464) = 7649601440 / 4
LCM(87460,87464) = 1912400360

Least Common Multiple (LCM) of 87460 and 87464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87460 and 87464. First we will calculate the prime factors of 87460 and 87464.

Prime Factorization of 87460

Prime Factorization of 87464

Now multiplying the highest exponent prime factors to calculate the LCM of 87460 and 87464.

LCM(87460,87464) = 2³ × 5¹ × 4373¹ × 13¹ × 29²
LCM(87460,87464) = 1912400360