What is the Least Common Multiple of 49434 and 49448?

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 49434 and 49448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49434 and 49448, than apply into the LCM equation.

GCF(49434,49448) = 14
LCM(49434,49448) = ( 49434 × 49448) / 14
LCM(49434,49448) = 2444412432 / 14
LCM(49434,49448) = 174600888

Least Common Multiple (LCM) of 49434 and 49448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49434 and 49448. First we will calculate the prime factors of 49434 and 49448.

Prime Factorization of 49434

Prime Factorization of 49448

Now multiplying the highest exponent prime factors to calculate the LCM of 49434 and 49448.

LCM(49434,49448) = 2³ × 3¹ × 7¹ × 11¹ × 107¹ × 883¹
LCM(49434,49448) = 174600888