What is the Least Common Multiple of 42658 and 42664?

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 42658 and 42664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42658 and 42664, than apply into the LCM equation.

GCF(42658,42664) = 2
LCM(42658,42664) = ( 42658 × 42664) / 2
LCM(42658,42664) = 1819960912 / 2
LCM(42658,42664) = 909980456

Least Common Multiple (LCM) of 42658 and 42664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42658 and 42664. First we will calculate the prime factors of 42658 and 42664.

Prime Factorization of 42658

Prime Factorization of 42664

Now multiplying the highest exponent prime factors to calculate the LCM of 42658 and 42664.

LCM(42658,42664) = 2³ × 7¹ × 11¹ × 277¹ × 5333¹
LCM(42658,42664) = 909980456