What is the Least Common Multiple of 49350 and 49354?

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 49350 and 49354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49350 and 49354, than apply into the LCM equation.

GCF(49350,49354) = 2
LCM(49350,49354) = ( 49350 × 49354) / 2
LCM(49350,49354) = 2435619900 / 2
LCM(49350,49354) = 1217809950

Least Common Multiple (LCM) of 49350 and 49354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49350 and 49354. First we will calculate the prime factors of 49350 and 49354.

Prime Factorization of 49350

Prime Factorization of 49354

Now multiplying the highest exponent prime factors to calculate the LCM of 49350 and 49354.

LCM(49350,49354) = 2¹ × 3¹ × 5² × 7¹ × 47¹ × 24677¹
LCM(49350,49354) = 1217809950