What is the Least Common Multiple of 74058 and 74067?

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 74058 and 74067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74058 and 74067, than apply into the LCM equation.

GCF(74058,74067) = 3
LCM(74058,74067) = ( 74058 × 74067) / 3
LCM(74058,74067) = 5485253886 / 3
LCM(74058,74067) = 1828417962

Least Common Multiple (LCM) of 74058 and 74067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74058 and 74067. First we will calculate the prime factors of 74058 and 74067.

Prime Factorization of 74058

Prime Factorization of 74067

Now multiplying the highest exponent prime factors to calculate the LCM of 74058 and 74067.

LCM(74058,74067) = 2¹ × 3¹ × 12343¹ × 7¹ × 3527¹
LCM(74058,74067) = 1828417962