What is the Least Common Multiple of 74355 and 74360?

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 74355 and 74360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74355 and 74360, than apply into the LCM equation.

GCF(74355,74360) = 5
LCM(74355,74360) = ( 74355 × 74360) / 5
LCM(74355,74360) = 5529037800 / 5
LCM(74355,74360) = 1105807560

Least Common Multiple (LCM) of 74355 and 74360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74355 and 74360. First we will calculate the prime factors of 74355 and 74360.

Prime Factorization of 74355

Prime Factorization of 74360

Now multiplying the highest exponent prime factors to calculate the LCM of 74355 and 74360.

LCM(74355,74360) = 3¹ × 5¹ × 4957¹ × 2³ × 11¹ × 13²
LCM(74355,74360) = 1105807560