What is the Least Common Multiple of 42474 and 42483?

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 42474 and 42483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42474 and 42483, than apply into the LCM equation.

GCF(42474,42483) = 3
LCM(42474,42483) = ( 42474 × 42483) / 3
LCM(42474,42483) = 1804422942 / 3
LCM(42474,42483) = 601474314

Least Common Multiple (LCM) of 42474 and 42483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42474 and 42483. First we will calculate the prime factors of 42474 and 42483.

Prime Factorization of 42474

Prime Factorization of 42483

Now multiplying the highest exponent prime factors to calculate the LCM of 42474 and 42483.

LCM(42474,42483) = 2¹ × 3¹ × 7079¹ × 7² × 17²
LCM(42474,42483) = 601474314