What is the Least Common Multiple of 38112 and 38120?

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 38120 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 38120, than apply into the LCM equation.

GCF(38112,38120) = 8
LCM(38112,38120) = ( 38112 × 38120) / 8
LCM(38112,38120) = 1452829440 / 8
LCM(38112,38120) = 181603680

Least Common Multiple (LCM) of 38112 and 38120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38112 and 38120. First we will calculate the prime factors of 38112 and 38120.

Prime Factorization of 38112

Prime Factorization of 38120

Now multiplying the highest exponent prime factors to calculate the LCM of 38112 and 38120.

LCM(38112,38120) = 2⁵ × 3¹ × 397¹ × 5¹ × 953¹
LCM(38112,38120) = 181603680