What is the Least Common Multiple of 38056 and 38072?

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 38056 and 38072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38056 and 38072, than apply into the LCM equation.

GCF(38056,38072) = 8
LCM(38056,38072) = ( 38056 × 38072) / 8
LCM(38056,38072) = 1448868032 / 8
LCM(38056,38072) = 181108504

Least Common Multiple (LCM) of 38056 and 38072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38056 and 38072. First we will calculate the prime factors of 38056 and 38072.

Prime Factorization of 38056

Prime Factorization of 38072

Now multiplying the highest exponent prime factors to calculate the LCM of 38056 and 38072.

LCM(38056,38072) = 2³ × 67¹ × 71¹ × 4759¹
LCM(38056,38072) = 181108504