What is the Least Common Multiple of 45548 and 45552?

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 45548 and 45552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45548 and 45552, than apply into the LCM equation.

GCF(45548,45552) = 4
LCM(45548,45552) = ( 45548 × 45552) / 4
LCM(45548,45552) = 2074802496 / 4
LCM(45548,45552) = 518700624

Least Common Multiple (LCM) of 45548 and 45552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45548 and 45552. First we will calculate the prime factors of 45548 and 45552.

Prime Factorization of 45548

Prime Factorization of 45552

Now multiplying the highest exponent prime factors to calculate the LCM of 45548 and 45552.

LCM(45548,45552) = 2⁴ × 59¹ × 193¹ × 3¹ × 13¹ × 73¹
LCM(45548,45552) = 518700624