What is the Least Common Multiple of 74509 and 74516?

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 74509 and 74516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74509 and 74516, than apply into the LCM equation.

GCF(74509,74516) = 1
LCM(74509,74516) = ( 74509 × 74516) / 1
LCM(74509,74516) = 5552112644 / 1
LCM(74509,74516) = 5552112644

Least Common Multiple (LCM) of 74509 and 74516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74509 and 74516. First we will calculate the prime factors of 74509 and 74516.

Prime Factorization of 74509

Prime Factorization of 74516

Now multiplying the highest exponent prime factors to calculate the LCM of 74509 and 74516.

LCM(74509,74516) = 74509¹ × 2² × 13¹ × 1433¹
LCM(74509,74516) = 5552112644