What is the Least Common Multiple of 38643 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 38643 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 38643 and 38652, than apply into the LCM equation.

GCF(38643,38652) = 3
LCM(38643,38652) = ( 38643 × 38652) / 3
LCM(38643,38652) = 1493629236 / 3
LCM(38643,38652) = 497876412

Least Common Multiple (LCM) of 38643 and 38652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38643 and 38652. First we will calculate the prime factors of 38643 and 38652.

Prime Factorization of 38643

Prime Factorization of 38652

Now multiplying the highest exponent prime factors to calculate the LCM of 38643 and 38652.

LCM(38643,38652) = 3¹ × 11¹ × 1171¹ × 2² × 3221¹
LCM(38643,38652) = 497876412