What is the Least Common Multiple of 39060 and 39076?

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 39060 and 39076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39060 and 39076, than apply into the LCM equation.

GCF(39060,39076) = 4
LCM(39060,39076) = ( 39060 × 39076) / 4
LCM(39060,39076) = 1526308560 / 4
LCM(39060,39076) = 381577140

Least Common Multiple (LCM) of 39060 and 39076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39060 and 39076. First we will calculate the prime factors of 39060 and 39076.

Prime Factorization of 39060

Prime Factorization of 39076

Now multiplying the highest exponent prime factors to calculate the LCM of 39060 and 39076.

LCM(39060,39076) = 2² × 3² × 5¹ × 7¹ × 31¹ × 9769¹
LCM(39060,39076) = 381577140