What is the Least Common Multiple of 49238 and 49250?

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 49238 and 49250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49238 and 49250, than apply into the LCM equation.

GCF(49238,49250) = 2
LCM(49238,49250) = ( 49238 × 49250) / 2
LCM(49238,49250) = 2424971500 / 2
LCM(49238,49250) = 1212485750

Least Common Multiple (LCM) of 49238 and 49250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49238 and 49250. First we will calculate the prime factors of 49238 and 49250.

Prime Factorization of 49238

Prime Factorization of 49250

Now multiplying the highest exponent prime factors to calculate the LCM of 49238 and 49250.

LCM(49238,49250) = 2¹ × 7¹ × 3517¹ × 5³ × 197¹
LCM(49238,49250) = 1212485750