What is the Least Common Multiple of 74560 and 74576?

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 74560 and 74576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74560 and 74576, than apply into the LCM equation.

GCF(74560,74576) = 16
LCM(74560,74576) = ( 74560 × 74576) / 16
LCM(74560,74576) = 5560386560 / 16
LCM(74560,74576) = 347524160

Least Common Multiple (LCM) of 74560 and 74576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74560 and 74576. First we will calculate the prime factors of 74560 and 74576.

Prime Factorization of 74560

Prime Factorization of 74576

Now multiplying the highest exponent prime factors to calculate the LCM of 74560 and 74576.

LCM(74560,74576) = 2⁶ × 5¹ × 233¹ × 59¹ × 79¹
LCM(74560,74576) = 347524160