What is the Least Common Multiple of 49464 and 49482?

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 49464 and 49482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49464 and 49482, than apply into the LCM equation.

GCF(49464,49482) = 18
LCM(49464,49482) = ( 49464 × 49482) / 18
LCM(49464,49482) = 2447577648 / 18
LCM(49464,49482) = 135976536

Least Common Multiple (LCM) of 49464 and 49482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49464 and 49482. First we will calculate the prime factors of 49464 and 49482.

Prime Factorization of 49464

Prime Factorization of 49482

Now multiplying the highest exponent prime factors to calculate the LCM of 49464 and 49482.

LCM(49464,49482) = 2³ × 3³ × 229¹ × 2749¹
LCM(49464,49482) = 135976536