What is the Least Common Multiple of 49472 and 49478?

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 49472 and 49478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49472 and 49478, than apply into the LCM equation.

GCF(49472,49478) = 2
LCM(49472,49478) = ( 49472 × 49478) / 2
LCM(49472,49478) = 2447775616 / 2
LCM(49472,49478) = 1223887808

Least Common Multiple (LCM) of 49472 and 49478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49472 and 49478. First we will calculate the prime factors of 49472 and 49478.

Prime Factorization of 49472

Prime Factorization of 49478

Now multiplying the highest exponent prime factors to calculate the LCM of 49472 and 49478.

LCM(49472,49478) = 2⁶ × 773¹ × 11¹ × 13¹ × 173¹
LCM(49472,49478) = 1223887808