What is the Least Common Multiple of 37368 and 37382?

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 37368 and 37382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37368 and 37382, than apply into the LCM equation.

GCF(37368,37382) = 2
LCM(37368,37382) = ( 37368 × 37382) / 2
LCM(37368,37382) = 1396890576 / 2
LCM(37368,37382) = 698445288

Least Common Multiple (LCM) of 37368 and 37382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37368 and 37382. First we will calculate the prime factors of 37368 and 37382.

Prime Factorization of 37368

Prime Factorization of 37382

Now multiplying the highest exponent prime factors to calculate the LCM of 37368 and 37382.

LCM(37368,37382) = 2³ × 3³ × 173¹ × 18691¹
LCM(37368,37382) = 698445288