What is the Least Common Multiple of 38608 and 38617?

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 38608 and 38617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38608 and 38617, than apply into the LCM equation.

GCF(38608,38617) = 1
LCM(38608,38617) = ( 38608 × 38617) / 1
LCM(38608,38617) = 1490925136 / 1
LCM(38608,38617) = 1490925136

Least Common Multiple (LCM) of 38608 and 38617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38608 and 38617. First we will calculate the prime factors of 38608 and 38617.

Prime Factorization of 38608

Prime Factorization of 38617

Now multiplying the highest exponent prime factors to calculate the LCM of 38608 and 38617.

LCM(38608,38617) = 2⁴ × 19¹ × 127¹ × 23² × 73¹
LCM(38608,38617) = 1490925136