What is the Least Common Multiple of 39084 and 39104?

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 39084 and 39104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39084 and 39104, than apply into the LCM equation.

GCF(39084,39104) = 4
LCM(39084,39104) = ( 39084 × 39104) / 4
LCM(39084,39104) = 1528340736 / 4
LCM(39084,39104) = 382085184

Least Common Multiple (LCM) of 39084 and 39104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39084 and 39104. First we will calculate the prime factors of 39084 and 39104.

Prime Factorization of 39084

Prime Factorization of 39104

Now multiplying the highest exponent prime factors to calculate the LCM of 39084 and 39104.

LCM(39084,39104) = 2⁶ × 3¹ × 3257¹ × 13¹ × 47¹
LCM(39084,39104) = 382085184