What is the Least Common Multiple of 37323 and 37342?

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 37323 and 37342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37323 and 37342, than apply into the LCM equation.

GCF(37323,37342) = 1
LCM(37323,37342) = ( 37323 × 37342) / 1
LCM(37323,37342) = 1393715466 / 1
LCM(37323,37342) = 1393715466

Least Common Multiple (LCM) of 37323 and 37342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37323 and 37342. First we will calculate the prime factors of 37323 and 37342.

Prime Factorization of 37323

Prime Factorization of 37342

Now multiplying the highest exponent prime factors to calculate the LCM of 37323 and 37342.

LCM(37323,37342) = 3² × 11¹ × 13¹ × 29¹ × 2¹ × 18671¹
LCM(37323,37342) = 1393715466