What is the Least Common Multiple of 39104 and 39119?

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 39104 and 39119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39104 and 39119, than apply into the LCM equation.

GCF(39104,39119) = 1
LCM(39104,39119) = ( 39104 × 39119) / 1
LCM(39104,39119) = 1529709376 / 1
LCM(39104,39119) = 1529709376

Least Common Multiple (LCM) of 39104 and 39119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39104 and 39119. First we will calculate the prime factors of 39104 and 39119.

Prime Factorization of 39104

Prime Factorization of 39119

Now multiplying the highest exponent prime factors to calculate the LCM of 39104 and 39119.

LCM(39104,39119) = 2⁶ × 13¹ × 47¹ × 39119¹
LCM(39104,39119) = 1529709376