What is the Least Common Multiple of 45525 and 45537?

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 45525 and 45537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45525 and 45537, than apply into the LCM equation.

GCF(45525,45537) = 3
LCM(45525,45537) = ( 45525 × 45537) / 3
LCM(45525,45537) = 2073071925 / 3
LCM(45525,45537) = 691023975

Least Common Multiple (LCM) of 45525 and 45537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45525 and 45537. First we will calculate the prime factors of 45525 and 45537.

Prime Factorization of 45525

Prime Factorization of 45537

Now multiplying the highest exponent prime factors to calculate the LCM of 45525 and 45537.

LCM(45525,45537) = 3¹ × 5² × 607¹ × 43¹ × 353¹
LCM(45525,45537) = 691023975