What is the Least Common Multiple of 49329 and 49348?

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 49329 and 49348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49329 and 49348, than apply into the LCM equation.

GCF(49329,49348) = 1
LCM(49329,49348) = ( 49329 × 49348) / 1
LCM(49329,49348) = 2434287492 / 1
LCM(49329,49348) = 2434287492

Least Common Multiple (LCM) of 49329 and 49348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49329 and 49348. First we will calculate the prime factors of 49329 and 49348.

Prime Factorization of 49329

Prime Factorization of 49348

Now multiplying the highest exponent prime factors to calculate the LCM of 49329 and 49348.

LCM(49329,49348) = 3⁵ × 7¹ × 29¹ × 2² × 13² × 73¹
LCM(49329,49348) = 2434287492