What is the Least Common Multiple of 49616 and 49634?

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 49616 and 49634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49616 and 49634, than apply into the LCM equation.

GCF(49616,49634) = 2
LCM(49616,49634) = ( 49616 × 49634) / 2
LCM(49616,49634) = 2462640544 / 2
LCM(49616,49634) = 1231320272

Least Common Multiple (LCM) of 49616 and 49634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49616 and 49634. First we will calculate the prime factors of 49616 and 49634.

Prime Factorization of 49616

Prime Factorization of 49634

Now multiplying the highest exponent prime factors to calculate the LCM of 49616 and 49634.

LCM(49616,49634) = 2⁴ × 7¹ × 443¹ × 13¹ × 23¹ × 83¹
LCM(49616,49634) = 1231320272