What is the Least Common Multiple of 15045 and 15054?

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 15045 and 15054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15045 and 15054, than apply into the LCM equation.

GCF(15045,15054) = 3
LCM(15045,15054) = ( 15045 × 15054) / 3
LCM(15045,15054) = 226487430 / 3
LCM(15045,15054) = 75495810

Least Common Multiple (LCM) of 15045 and 15054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15045 and 15054. First we will calculate the prime factors of 15045 and 15054.

Prime Factorization of 15045

Prime Factorization of 15054

Now multiplying the highest exponent prime factors to calculate the LCM of 15045 and 15054.

LCM(15045,15054) = 3¹ × 5¹ × 17¹ × 59¹ × 2¹ × 13¹ × 193¹
LCM(15045,15054) = 75495810