What is the Least Common Multiple of 74685 and 74700?

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 74685 and 74700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74685 and 74700, than apply into the LCM equation.

GCF(74685,74700) = 15
LCM(74685,74700) = ( 74685 × 74700) / 15
LCM(74685,74700) = 5578969500 / 15
LCM(74685,74700) = 371931300

Least Common Multiple (LCM) of 74685 and 74700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74685 and 74700. First we will calculate the prime factors of 74685 and 74700.

Prime Factorization of 74685

Prime Factorization of 74700

Now multiplying the highest exponent prime factors to calculate the LCM of 74685 and 74700.

LCM(74685,74700) = 3² × 5² × 13¹ × 383¹ × 2² × 83¹
LCM(74685,74700) = 371931300