What is the Least Common Multiple of 49250 and 49270?

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 49250 and 49270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49250 and 49270, than apply into the LCM equation.

GCF(49250,49270) = 10
LCM(49250,49270) = ( 49250 × 49270) / 10
LCM(49250,49270) = 2426547500 / 10
LCM(49250,49270) = 242654750

Least Common Multiple (LCM) of 49250 and 49270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49250 and 49270. First we will calculate the prime factors of 49250 and 49270.

Prime Factorization of 49250

Prime Factorization of 49270

Now multiplying the highest exponent prime factors to calculate the LCM of 49250 and 49270.

LCM(49250,49270) = 2¹ × 5³ × 197¹ × 13¹ × 379¹
LCM(49250,49270) = 242654750