What is the Least Common Multiple of 37264 and 37273?

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 37264 and 37273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37264 and 37273, than apply into the LCM equation.

GCF(37264,37273) = 1
LCM(37264,37273) = ( 37264 × 37273) / 1
LCM(37264,37273) = 1388941072 / 1
LCM(37264,37273) = 1388941072

Least Common Multiple (LCM) of 37264 and 37273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37264 and 37273. First we will calculate the prime factors of 37264 and 37273.

Prime Factorization of 37264

Prime Factorization of 37273

Now multiplying the highest exponent prime factors to calculate the LCM of 37264 and 37273.

LCM(37264,37273) = 2⁴ × 17¹ × 137¹ × 37273¹
LCM(37264,37273) = 1388941072