What is the Least Common Multiple of 39104 and 39109?

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 39109 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 39109, than apply into the LCM equation.

GCF(39104,39109) = 1
LCM(39104,39109) = ( 39104 × 39109) / 1
LCM(39104,39109) = 1529318336 / 1
LCM(39104,39109) = 1529318336

Least Common Multiple (LCM) of 39104 and 39109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39104 and 39109. First we will calculate the prime factors of 39104 and 39109.

Prime Factorization of 39104

Prime Factorization of 39109

Now multiplying the highest exponent prime factors to calculate the LCM of 39104 and 39109.

LCM(39104,39109) = 2⁶ × 13¹ × 47¹ × 7¹ × 37¹ × 151¹
LCM(39104,39109) = 1529318336