What is the Least Common Multiple of 74720 and 74740?

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 74720 and 74740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74720 and 74740, than apply into the LCM equation.

GCF(74720,74740) = 20
LCM(74720,74740) = ( 74720 × 74740) / 20
LCM(74720,74740) = 5584572800 / 20
LCM(74720,74740) = 279228640

Least Common Multiple (LCM) of 74720 and 74740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74720 and 74740. First we will calculate the prime factors of 74720 and 74740.

Prime Factorization of 74720

Prime Factorization of 74740

Now multiplying the highest exponent prime factors to calculate the LCM of 74720 and 74740.

LCM(74720,74740) = 2⁵ × 5¹ × 467¹ × 37¹ × 101¹
LCM(74720,74740) = 279228640