What is the Least Common Multiple of 75036 and 75045?

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 75036 and 75045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75036 and 75045, than apply into the LCM equation.

GCF(75036,75045) = 3
LCM(75036,75045) = ( 75036 × 75045) / 3
LCM(75036,75045) = 5631076620 / 3
LCM(75036,75045) = 1877025540

Least Common Multiple (LCM) of 75036 and 75045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75036 and 75045. First we will calculate the prime factors of 75036 and 75045.

Prime Factorization of 75036

Prime Factorization of 75045

Now multiplying the highest exponent prime factors to calculate the LCM of 75036 and 75045.

LCM(75036,75045) = 2² × 3¹ × 13² × 37¹ × 5¹ × 5003¹
LCM(75036,75045) = 1877025540