What is the Least Common Multiple of 39640 and 39649?

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 39640 and 39649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39640 and 39649, than apply into the LCM equation.

GCF(39640,39649) = 1
LCM(39640,39649) = ( 39640 × 39649) / 1
LCM(39640,39649) = 1571686360 / 1
LCM(39640,39649) = 1571686360

Least Common Multiple (LCM) of 39640 and 39649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39640 and 39649. First we will calculate the prime factors of 39640 and 39649.

Prime Factorization of 39640

Prime Factorization of 39649

Now multiplying the highest exponent prime factors to calculate the LCM of 39640 and 39649.

LCM(39640,39649) = 2³ × 5¹ × 991¹ × 31¹ × 1279¹
LCM(39640,39649) = 1571686360