What is the Least Common Multiple of 38642 and 38652?

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 38652 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 38652, than apply into the LCM equation.

GCF(38642,38652) = 2
LCM(38642,38652) = ( 38642 × 38652) / 2
LCM(38642,38652) = 1493590584 / 2
LCM(38642,38652) = 746795292

Least Common Multiple (LCM) of 38642 and 38652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38642 and 38652. First we will calculate the prime factors of 38642 and 38652.

Prime Factorization of 38642

Prime Factorization of 38652

Now multiplying the highest exponent prime factors to calculate the LCM of 38642 and 38652.

LCM(38642,38652) = 2² × 139² × 3¹ × 3221¹
LCM(38642,38652) = 746795292