What is the Least Common Multiple of 37678 and 37691?

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 37678 and 37691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37678 and 37691, than apply into the LCM equation.

GCF(37678,37691) = 1
LCM(37678,37691) = ( 37678 × 37691) / 1
LCM(37678,37691) = 1420121498 / 1
LCM(37678,37691) = 1420121498

Least Common Multiple (LCM) of 37678 and 37691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37678 and 37691. First we will calculate the prime factors of 37678 and 37691.

Prime Factorization of 37678

Prime Factorization of 37691

Now multiplying the highest exponent prime factors to calculate the LCM of 37678 and 37691.

LCM(37678,37691) = 2¹ × 18839¹ × 37691¹
LCM(37678,37691) = 1420121498