What is the Least Common Multiple of 39084 and 39088?

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 39088 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 39088, than apply into the LCM equation.

GCF(39084,39088) = 4
LCM(39084,39088) = ( 39084 × 39088) / 4
LCM(39084,39088) = 1527715392 / 4
LCM(39084,39088) = 381928848

Least Common Multiple (LCM) of 39084 and 39088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39084 and 39088. First we will calculate the prime factors of 39084 and 39088.

Prime Factorization of 39084

Prime Factorization of 39088

Now multiplying the highest exponent prime factors to calculate the LCM of 39084 and 39088.

LCM(39084,39088) = 2⁴ × 3¹ × 3257¹ × 7¹ × 349¹
LCM(39084,39088) = 381928848