What is the Least Common Multiple of 75045 and 75054?

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 75045 and 75054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75045 and 75054, than apply into the LCM equation.

GCF(75045,75054) = 3
LCM(75045,75054) = ( 75045 × 75054) / 3
LCM(75045,75054) = 5632427430 / 3
LCM(75045,75054) = 1877475810

Least Common Multiple (LCM) of 75045 and 75054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75045 and 75054. First we will calculate the prime factors of 75045 and 75054.

Prime Factorization of 75045

Prime Factorization of 75054

Now multiplying the highest exponent prime factors to calculate the LCM of 75045 and 75054.

LCM(75045,75054) = 3¹ × 5¹ × 5003¹ × 2¹ × 7¹ × 1787¹
LCM(75045,75054) = 1877475810