What is the Least Common Multiple of 49299 and 49308?

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 49299 and 49308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49299 and 49308, than apply into the LCM equation.

GCF(49299,49308) = 3
LCM(49299,49308) = ( 49299 × 49308) / 3
LCM(49299,49308) = 2430835092 / 3
LCM(49299,49308) = 810278364

Least Common Multiple (LCM) of 49299 and 49308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49299 and 49308. First we will calculate the prime factors of 49299 and 49308.

Prime Factorization of 49299

Prime Factorization of 49308

Now multiplying the highest exponent prime factors to calculate the LCM of 49299 and 49308.

LCM(49299,49308) = 3¹ × 16433¹ × 2² × 7¹ × 587¹
LCM(49299,49308) = 810278364