What is the Least Common Multiple of 39632 and 39639?

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 39632 and 39639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39632 and 39639, than apply into the LCM equation.

GCF(39632,39639) = 1
LCM(39632,39639) = ( 39632 × 39639) / 1
LCM(39632,39639) = 1570972848 / 1
LCM(39632,39639) = 1570972848

Least Common Multiple (LCM) of 39632 and 39639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39632 and 39639. First we will calculate the prime factors of 39632 and 39639.

Prime Factorization of 39632

Prime Factorization of 39639

Now multiplying the highest exponent prime factors to calculate the LCM of 39632 and 39639.

LCM(39632,39639) = 2⁴ × 2477¹ × 3¹ × 73¹ × 181¹
LCM(39632,39639) = 1570972848