What is the Least Common Multiple of 38649 and 38667?

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 38649 and 38667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38649 and 38667, than apply into the LCM equation.

GCF(38649,38667) = 3
LCM(38649,38667) = ( 38649 × 38667) / 3
LCM(38649,38667) = 1494440883 / 3
LCM(38649,38667) = 498146961

Least Common Multiple (LCM) of 38649 and 38667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38649 and 38667. First we will calculate the prime factors of 38649 and 38667.

Prime Factorization of 38649

Prime Factorization of 38667

Now multiplying the highest exponent prime factors to calculate the LCM of 38649 and 38667.

LCM(38649,38667) = 3¹ × 13¹ × 991¹ × 12889¹
LCM(38649,38667) = 498146961