What is the Least Common Multiple of 74430 and 74444?

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 74430 and 74444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74430 and 74444, than apply into the LCM equation.

GCF(74430,74444) = 2
LCM(74430,74444) = ( 74430 × 74444) / 2
LCM(74430,74444) = 5540866920 / 2
LCM(74430,74444) = 2770433460

Least Common Multiple (LCM) of 74430 and 74444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74430 and 74444. First we will calculate the prime factors of 74430 and 74444.

Prime Factorization of 74430

Prime Factorization of 74444

Now multiplying the highest exponent prime factors to calculate the LCM of 74430 and 74444.

LCM(74430,74444) = 2² × 3² × 5¹ × 827¹ × 37¹ × 503¹
LCM(74430,74444) = 2770433460