What is the Least Common Multiple of 49320 and 49329?

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 49320 and 49329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49320 and 49329, than apply into the LCM equation.

GCF(49320,49329) = 9
LCM(49320,49329) = ( 49320 × 49329) / 9
LCM(49320,49329) = 2432906280 / 9
LCM(49320,49329) = 270322920

Least Common Multiple (LCM) of 49320 and 49329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49320 and 49329. First we will calculate the prime factors of 49320 and 49329.

Prime Factorization of 49320

Prime Factorization of 49329

Now multiplying the highest exponent prime factors to calculate the LCM of 49320 and 49329.

LCM(49320,49329) = 2³ × 3⁵ × 5¹ × 137¹ × 7¹ × 29¹
LCM(49320,49329) = 270322920