What is the Least Common Multiple of 49234 and 49238?

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 49234 and 49238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49234 and 49238, than apply into the LCM equation.

GCF(49234,49238) = 2
LCM(49234,49238) = ( 49234 × 49238) / 2
LCM(49234,49238) = 2424183692 / 2
LCM(49234,49238) = 1212091846

Least Common Multiple (LCM) of 49234 and 49238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49234 and 49238. First we will calculate the prime factors of 49234 and 49238.

Prime Factorization of 49234

Prime Factorization of 49238

Now multiplying the highest exponent prime factors to calculate the LCM of 49234 and 49238.

LCM(49234,49238) = 2¹ × 103¹ × 239¹ × 7¹ × 3517¹
LCM(49234,49238) = 1212091846