What is the Least Common Multiple of 37024 and 37029?

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 37024 and 37029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37024 and 37029, than apply into the LCM equation.

GCF(37024,37029) = 1
LCM(37024,37029) = ( 37024 × 37029) / 1
LCM(37024,37029) = 1370961696 / 1
LCM(37024,37029) = 1370961696

Least Common Multiple (LCM) of 37024 and 37029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37024 and 37029. First we will calculate the prime factors of 37024 and 37029.

Prime Factorization of 37024

Prime Factorization of 37029

Now multiplying the highest exponent prime factors to calculate the LCM of 37024 and 37029.

LCM(37024,37029) = 2⁵ × 13¹ × 89¹ × 3¹ × 12343¹
LCM(37024,37029) = 1370961696