What is the Least Common Multiple of 42675 and 42688?

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 42675 and 42688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42675 and 42688, than apply into the LCM equation.

GCF(42675,42688) = 1
LCM(42675,42688) = ( 42675 × 42688) / 1
LCM(42675,42688) = 1821710400 / 1
LCM(42675,42688) = 1821710400

Least Common Multiple (LCM) of 42675 and 42688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42675 and 42688. First we will calculate the prime factors of 42675 and 42688.

Prime Factorization of 42675

Prime Factorization of 42688

Now multiplying the highest exponent prime factors to calculate the LCM of 42675 and 42688.

LCM(42675,42688) = 3¹ × 5² × 569¹ × 2⁶ × 23¹ × 29¹
LCM(42675,42688) = 1821710400