What is the Least Common Multiple of 45520 and 45525?

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 45520 and 45525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45520 and 45525, than apply into the LCM equation.

GCF(45520,45525) = 5
LCM(45520,45525) = ( 45520 × 45525) / 5
LCM(45520,45525) = 2072298000 / 5
LCM(45520,45525) = 414459600

Least Common Multiple (LCM) of 45520 and 45525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45520 and 45525. First we will calculate the prime factors of 45520 and 45525.

Prime Factorization of 45520

Prime Factorization of 45525

Now multiplying the highest exponent prime factors to calculate the LCM of 45520 and 45525.

LCM(45520,45525) = 2⁴ × 5² × 569¹ × 3¹ × 607¹
LCM(45520,45525) = 414459600