What is the Least Common Multiple of 37880 and 37893?

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 37880 and 37893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37880 and 37893, than apply into the LCM equation.

GCF(37880,37893) = 1
LCM(37880,37893) = ( 37880 × 37893) / 1
LCM(37880,37893) = 1435386840 / 1
LCM(37880,37893) = 1435386840

Least Common Multiple (LCM) of 37880 and 37893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37880 and 37893. First we will calculate the prime factors of 37880 and 37893.

Prime Factorization of 37880

Prime Factorization of 37893

Now multiplying the highest exponent prime factors to calculate the LCM of 37880 and 37893.

LCM(37880,37893) = 2³ × 5¹ × 947¹ × 3¹ × 17¹ × 743¹
LCM(37880,37893) = 1435386840