What is the Least Common Multiple of 75472 and 75477?

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 75472 and 75477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75472 and 75477, than apply into the LCM equation.

GCF(75472,75477) = 1
LCM(75472,75477) = ( 75472 × 75477) / 1
LCM(75472,75477) = 5696400144 / 1
LCM(75472,75477) = 5696400144

Least Common Multiple (LCM) of 75472 and 75477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75472 and 75477. First we will calculate the prime factors of 75472 and 75477.

Prime Factorization of 75472

Prime Factorization of 75477

Now multiplying the highest exponent prime factors to calculate the LCM of 75472 and 75477.

LCM(75472,75477) = 2⁴ × 53¹ × 89¹ × 3¹ × 139¹ × 181¹
LCM(75472,75477) = 5696400144