What is the Least Common Multiple of 39045 and 39054?

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 39045 and 39054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39045 and 39054, than apply into the LCM equation.

GCF(39045,39054) = 3
LCM(39045,39054) = ( 39045 × 39054) / 3
LCM(39045,39054) = 1524863430 / 3
LCM(39045,39054) = 508287810

Least Common Multiple (LCM) of 39045 and 39054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39045 and 39054. First we will calculate the prime factors of 39045 and 39054.

Prime Factorization of 39045

Prime Factorization of 39054

Now multiplying the highest exponent prime factors to calculate the LCM of 39045 and 39054.

LCM(39045,39054) = 3¹ × 5¹ × 19¹ × 137¹ × 2¹ × 23¹ × 283¹
LCM(39045,39054) = 508287810