What is the Least Common Multiple of 37048 and 37059?

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 37048 and 37059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37048 and 37059, than apply into the LCM equation.

GCF(37048,37059) = 11
LCM(37048,37059) = ( 37048 × 37059) / 11
LCM(37048,37059) = 1372961832 / 11
LCM(37048,37059) = 124814712

Least Common Multiple (LCM) of 37048 and 37059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37048 and 37059. First we will calculate the prime factors of 37048 and 37059.

Prime Factorization of 37048

Prime Factorization of 37059

Now multiplying the highest exponent prime factors to calculate the LCM of 37048 and 37059.

LCM(37048,37059) = 2³ × 11¹ × 421¹ × 3¹ × 1123¹
LCM(37048,37059) = 124814712