What is the Least Common Multiple of 37306 and 37320?

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 37306 and 37320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37306 and 37320, than apply into the LCM equation.

GCF(37306,37320) = 2
LCM(37306,37320) = ( 37306 × 37320) / 2
LCM(37306,37320) = 1392259920 / 2
LCM(37306,37320) = 696129960

Least Common Multiple (LCM) of 37306 and 37320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37306 and 37320. First we will calculate the prime factors of 37306 and 37320.

Prime Factorization of 37306

Prime Factorization of 37320

Now multiplying the highest exponent prime factors to calculate the LCM of 37306 and 37320.

LCM(37306,37320) = 2³ × 23¹ × 811¹ × 3¹ × 5¹ × 311¹
LCM(37306,37320) = 696129960