What is the Least Common Multiple of 37009 and 37026?

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 37009 and 37026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37009 and 37026, than apply into the LCM equation.

GCF(37009,37026) = 17
LCM(37009,37026) = ( 37009 × 37026) / 17
LCM(37009,37026) = 1370295234 / 17
LCM(37009,37026) = 80605602

Least Common Multiple (LCM) of 37009 and 37026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37009 and 37026. First we will calculate the prime factors of 37009 and 37026.

Prime Factorization of 37009

Prime Factorization of 37026

Now multiplying the highest exponent prime factors to calculate the LCM of 37009 and 37026.

LCM(37009,37026) = 7¹ × 17¹ × 311¹ × 2¹ × 3² × 11²
LCM(37009,37026) = 80605602