What is the Least Common Multiple of 42670 and 42675?

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 42670 and 42675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42670 and 42675, than apply into the LCM equation.

GCF(42670,42675) = 5
LCM(42670,42675) = ( 42670 × 42675) / 5
LCM(42670,42675) = 1820942250 / 5
LCM(42670,42675) = 364188450

Least Common Multiple (LCM) of 42670 and 42675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42670 and 42675. First we will calculate the prime factors of 42670 and 42675.

Prime Factorization of 42670

Prime Factorization of 42675

Now multiplying the highest exponent prime factors to calculate the LCM of 42670 and 42675.

LCM(42670,42675) = 2¹ × 5² × 17¹ × 251¹ × 3¹ × 569¹
LCM(42670,42675) = 364188450