What is the Least Common Multiple of 38636 and 38649?

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 38636 and 38649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38636 and 38649, than apply into the LCM equation.

GCF(38636,38649) = 13
LCM(38636,38649) = ( 38636 × 38649) / 13
LCM(38636,38649) = 1493242764 / 13
LCM(38636,38649) = 114864828

Least Common Multiple (LCM) of 38636 and 38649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38636 and 38649. First we will calculate the prime factors of 38636 and 38649.

Prime Factorization of 38636

Prime Factorization of 38649

Now multiplying the highest exponent prime factors to calculate the LCM of 38636 and 38649.

LCM(38636,38649) = 2² × 13¹ × 743¹ × 3¹ × 991¹
LCM(38636,38649) = 114864828