What is the Least Common Multiple of 37005 and 37022?

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 37005 and 37022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37005 and 37022, than apply into the LCM equation.

GCF(37005,37022) = 1
LCM(37005,37022) = ( 37005 × 37022) / 1
LCM(37005,37022) = 1369999110 / 1
LCM(37005,37022) = 1369999110

Least Common Multiple (LCM) of 37005 and 37022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37005 and 37022. First we will calculate the prime factors of 37005 and 37022.

Prime Factorization of 37005

Prime Factorization of 37022

Now multiplying the highest exponent prime factors to calculate the LCM of 37005 and 37022.

LCM(37005,37022) = 3¹ × 5¹ × 2467¹ × 2¹ × 107¹ × 173¹
LCM(37005,37022) = 1369999110