What is the Least Common Multiple of 37454 and 37468?

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 37454 and 37468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37454 and 37468, than apply into the LCM equation.

GCF(37454,37468) = 2
LCM(37454,37468) = ( 37454 × 37468) / 2
LCM(37454,37468) = 1403326472 / 2
LCM(37454,37468) = 701663236

Least Common Multiple (LCM) of 37454 and 37468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37454 and 37468. First we will calculate the prime factors of 37454 and 37468.

Prime Factorization of 37454

Prime Factorization of 37468

Now multiplying the highest exponent prime factors to calculate the LCM of 37454 and 37468.

LCM(37454,37468) = 2² × 61¹ × 307¹ × 17¹ × 19¹ × 29¹
LCM(37454,37468) = 701663236