What is the Least Common Multiple of 74520 and 74533?

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 74520 and 74533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74520 and 74533, than apply into the LCM equation.

GCF(74520,74533) = 1
LCM(74520,74533) = ( 74520 × 74533) / 1
LCM(74520,74533) = 5554199160 / 1
LCM(74520,74533) = 5554199160

Least Common Multiple (LCM) of 74520 and 74533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74520 and 74533. First we will calculate the prime factors of 74520 and 74533.

Prime Factorization of 74520

Prime Factorization of 74533

Now multiplying the highest exponent prime factors to calculate the LCM of 74520 and 74533.

LCM(74520,74533) = 2³ × 3⁴ × 5¹ × 23¹ × 73¹ × 1021¹
LCM(74520,74533) = 5554199160