What is the Least Common Multiple of 37026 and 37046?

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 37026 and 37046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37026 and 37046, than apply into the LCM equation.

GCF(37026,37046) = 2
LCM(37026,37046) = ( 37026 × 37046) / 2
LCM(37026,37046) = 1371665196 / 2
LCM(37026,37046) = 685832598

Least Common Multiple (LCM) of 37026 and 37046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37026 and 37046. First we will calculate the prime factors of 37026 and 37046.

Prime Factorization of 37026

Prime Factorization of 37046

Now multiplying the highest exponent prime factors to calculate the LCM of 37026 and 37046.

LCM(37026,37046) = 2¹ × 3² × 11² × 17¹ × 18523¹
LCM(37026,37046) = 685832598