What is the Least Common Multiple of 45552 and 45557?

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 45552 and 45557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45552 and 45557, than apply into the LCM equation.

GCF(45552,45557) = 1
LCM(45552,45557) = ( 45552 × 45557) / 1
LCM(45552,45557) = 2075212464 / 1
LCM(45552,45557) = 2075212464

Least Common Multiple (LCM) of 45552 and 45557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45552 and 45557. First we will calculate the prime factors of 45552 and 45557.

Prime Factorization of 45552

Prime Factorization of 45557

Now multiplying the highest exponent prime factors to calculate the LCM of 45552 and 45557.

LCM(45552,45557) = 2⁴ × 3¹ × 13¹ × 73¹ × 45557¹
LCM(45552,45557) = 2075212464