What is the Least Common Multiple of 38612 and 38626?

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 38612 and 38626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38612 and 38626, than apply into the LCM equation.

GCF(38612,38626) = 14
LCM(38612,38626) = ( 38612 × 38626) / 14
LCM(38612,38626) = 1491427112 / 14
LCM(38612,38626) = 106530508

Least Common Multiple (LCM) of 38612 and 38626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38612 and 38626. First we will calculate the prime factors of 38612 and 38626.

Prime Factorization of 38612

Prime Factorization of 38626

Now multiplying the highest exponent prime factors to calculate the LCM of 38612 and 38626.

LCM(38612,38626) = 2² × 7² × 197¹ × 31¹ × 89¹
LCM(38612,38626) = 106530508