What is the Least Common Multiple of 49608 and 49614?

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 49608 and 49614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49608 and 49614, than apply into the LCM equation.

GCF(49608,49614) = 6
LCM(49608,49614) = ( 49608 × 49614) / 6
LCM(49608,49614) = 2461251312 / 6
LCM(49608,49614) = 410208552

Least Common Multiple (LCM) of 49608 and 49614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49608 and 49614. First we will calculate the prime factors of 49608 and 49614.

Prime Factorization of 49608

Prime Factorization of 49614

Now multiplying the highest exponent prime factors to calculate the LCM of 49608 and 49614.

LCM(49608,49614) = 2³ × 3² × 13¹ × 53¹ × 8269¹
LCM(49608,49614) = 410208552