What is the Least Common Multiple of 37371 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 37371 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 37371 and 37382, than apply into the LCM equation.

GCF(37371,37382) = 1
LCM(37371,37382) = ( 37371 × 37382) / 1
LCM(37371,37382) = 1397002722 / 1
LCM(37371,37382) = 1397002722

Least Common Multiple (LCM) of 37371 and 37382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37371 and 37382. First we will calculate the prime factors of 37371 and 37382.

Prime Factorization of 37371

Prime Factorization of 37382

Now multiplying the highest exponent prime factors to calculate the LCM of 37371 and 37382.

LCM(37371,37382) = 3¹ × 12457¹ × 2¹ × 18691¹
LCM(37371,37382) = 1397002722