What is the Least Common Multiple of 48424 and 48440?

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 48424 and 48440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48424 and 48440, than apply into the LCM equation.

GCF(48424,48440) = 8
LCM(48424,48440) = ( 48424 × 48440) / 8
LCM(48424,48440) = 2345658560 / 8
LCM(48424,48440) = 293207320

Least Common Multiple (LCM) of 48424 and 48440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48424 and 48440. First we will calculate the prime factors of 48424 and 48440.

Prime Factorization of 48424

Prime Factorization of 48440

Now multiplying the highest exponent prime factors to calculate the LCM of 48424 and 48440.

LCM(48424,48440) = 2³ × 6053¹ × 5¹ × 7¹ × 173¹
LCM(48424,48440) = 293207320