What is the Least Common Multiple of 37850 and 37854?

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 37850 and 37854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37850 and 37854, than apply into the LCM equation.

GCF(37850,37854) = 2
LCM(37850,37854) = ( 37850 × 37854) / 2
LCM(37850,37854) = 1432773900 / 2
LCM(37850,37854) = 716386950

Least Common Multiple (LCM) of 37850 and 37854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37850 and 37854. First we will calculate the prime factors of 37850 and 37854.

Prime Factorization of 37850

Prime Factorization of 37854

Now multiplying the highest exponent prime factors to calculate the LCM of 37850 and 37854.

LCM(37850,37854) = 2¹ × 5² × 757¹ × 3³ × 701¹
LCM(37850,37854) = 716386950