What is the Least Common Multiple of 40047 and 40054?

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 40047 and 40054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40047 and 40054, than apply into the LCM equation.

GCF(40047,40054) = 7
LCM(40047,40054) = ( 40047 × 40054) / 7
LCM(40047,40054) = 1604042538 / 7
LCM(40047,40054) = 229148934

Least Common Multiple (LCM) of 40047 and 40054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40047 and 40054. First we will calculate the prime factors of 40047 and 40054.

Prime Factorization of 40047

Prime Factorization of 40054

Now multiplying the highest exponent prime factors to calculate the LCM of 40047 and 40054.

LCM(40047,40054) = 3¹ × 7¹ × 1907¹ × 2¹ × 2861¹
LCM(40047,40054) = 229148934