What is the Least Common Multiple of 42675 and 42679?

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 42679 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 42679, than apply into the LCM equation.

GCF(42675,42679) = 1
LCM(42675,42679) = ( 42675 × 42679) / 1
LCM(42675,42679) = 1821326325 / 1
LCM(42675,42679) = 1821326325

Least Common Multiple (LCM) of 42675 and 42679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42675 and 42679. First we will calculate the prime factors of 42675 and 42679.

Prime Factorization of 42675

Prime Factorization of 42679

Now multiplying the highest exponent prime factors to calculate the LCM of 42675 and 42679.

LCM(42675,42679) = 3¹ × 5² × 569¹ × 7² × 13¹ × 67¹
LCM(42675,42679) = 1821326325