What is the Least Common Multiple of 37416 and 37423?

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 37416 and 37423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37416 and 37423, than apply into the LCM equation.

GCF(37416,37423) = 1
LCM(37416,37423) = ( 37416 × 37423) / 1
LCM(37416,37423) = 1400218968 / 1
LCM(37416,37423) = 1400218968

Least Common Multiple (LCM) of 37416 and 37423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37416 and 37423. First we will calculate the prime factors of 37416 and 37423.

Prime Factorization of 37416

Prime Factorization of 37423

Now multiplying the highest exponent prime factors to calculate the LCM of 37416 and 37423.

LCM(37416,37423) = 2³ × 3¹ × 1559¹ × 37423¹
LCM(37416,37423) = 1400218968