What is the Least Common Multiple of 38642 and 38646?

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 38642 and 38646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38642 and 38646, than apply into the LCM equation.

GCF(38642,38646) = 2
LCM(38642,38646) = ( 38642 × 38646) / 2
LCM(38642,38646) = 1493358732 / 2
LCM(38642,38646) = 746679366

Least Common Multiple (LCM) of 38642 and 38646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38642 and 38646. First we will calculate the prime factors of 38642 and 38646.

Prime Factorization of 38642

Prime Factorization of 38646

Now multiplying the highest exponent prime factors to calculate the LCM of 38642 and 38646.

LCM(38642,38646) = 2¹ × 139² × 3² × 19¹ × 113¹
LCM(38642,38646) = 746679366