What is the Least Common Multiple of 49250 and 49254?

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 49254 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 49254, than apply into the LCM equation.

GCF(49250,49254) = 2
LCM(49250,49254) = ( 49250 × 49254) / 2
LCM(49250,49254) = 2425759500 / 2
LCM(49250,49254) = 1212879750

Least Common Multiple (LCM) of 49250 and 49254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49250 and 49254. First we will calculate the prime factors of 49250 and 49254.

Prime Factorization of 49250

Prime Factorization of 49254

Now multiplying the highest exponent prime factors to calculate the LCM of 49250 and 49254.

LCM(49250,49254) = 2¹ × 5³ × 197¹ × 3¹ × 8209¹
LCM(49250,49254) = 1212879750