What is the Least Common Multiple of 74715 and 74732?

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 74715 and 74732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74715 and 74732, than apply into the LCM equation.

GCF(74715,74732) = 17
LCM(74715,74732) = ( 74715 × 74732) / 17
LCM(74715,74732) = 5583601380 / 17
LCM(74715,74732) = 328447140

Least Common Multiple (LCM) of 74715 and 74732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74715 and 74732. First we will calculate the prime factors of 74715 and 74732.

Prime Factorization of 74715

Prime Factorization of 74732

Now multiplying the highest exponent prime factors to calculate the LCM of 74715 and 74732.

LCM(74715,74732) = 3¹ × 5¹ × 17¹ × 293¹ × 2² × 7¹ × 157¹
LCM(74715,74732) = 328447140