What is the Least Common Multiple of 38658 and 38678?

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 38658 and 38678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38658 and 38678, than apply into the LCM equation.

GCF(38658,38678) = 2
LCM(38658,38678) = ( 38658 × 38678) / 2
LCM(38658,38678) = 1495214124 / 2
LCM(38658,38678) = 747607062

Least Common Multiple (LCM) of 38658 and 38678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38658 and 38678. First we will calculate the prime factors of 38658 and 38678.

Prime Factorization of 38658

Prime Factorization of 38678

Now multiplying the highest exponent prime factors to calculate the LCM of 38658 and 38678.

LCM(38658,38678) = 2¹ × 3¹ × 17¹ × 379¹ × 83¹ × 233¹
LCM(38658,38678) = 747607062