What is the Least Common Multiple of 38112 and 38126?

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 38112 and 38126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38112 and 38126, than apply into the LCM equation.

GCF(38112,38126) = 2
LCM(38112,38126) = ( 38112 × 38126) / 2
LCM(38112,38126) = 1453058112 / 2
LCM(38112,38126) = 726529056

Least Common Multiple (LCM) of 38112 and 38126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38112 and 38126. First we will calculate the prime factors of 38112 and 38126.

Prime Factorization of 38112

Prime Factorization of 38126

Now multiplying the highest exponent prime factors to calculate the LCM of 38112 and 38126.

LCM(38112,38126) = 2⁵ × 3¹ × 397¹ × 11¹ × 1733¹
LCM(38112,38126) = 726529056