What is the Least Common Multiple of 37729 and 37742?

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 37729 and 37742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37729 and 37742, than apply into the LCM equation.

GCF(37729,37742) = 1
LCM(37729,37742) = ( 37729 × 37742) / 1
LCM(37729,37742) = 1423967918 / 1
LCM(37729,37742) = 1423967918

Least Common Multiple (LCM) of 37729 and 37742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37729 and 37742. First we will calculate the prime factors of 37729 and 37742.

Prime Factorization of 37729

Prime Factorization of 37742

Now multiplying the highest exponent prime factors to calculate the LCM of 37729 and 37742.

LCM(37729,37742) = 29¹ × 1301¹ × 2¹ × 113¹ × 167¹
LCM(37729,37742) = 1423967918