What is the Least Common Multiple of 74400 and 74407?

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 74400 and 74407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74400 and 74407, than apply into the LCM equation.

GCF(74400,74407) = 1
LCM(74400,74407) = ( 74400 × 74407) / 1
LCM(74400,74407) = 5535880800 / 1
LCM(74400,74407) = 5535880800

Least Common Multiple (LCM) of 74400 and 74407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74400 and 74407. First we will calculate the prime factors of 74400 and 74407.

Prime Factorization of 74400

Prime Factorization of 74407

Now multiplying the highest exponent prime factors to calculate the LCM of 74400 and 74407.

LCM(74400,74407) = 2⁵ × 3¹ × 5² × 31¹ × 37¹ × 2011¹
LCM(74400,74407) = 5535880800