What is the Least Common Multiple of 49350 and 49368?

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 49368 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 49368, than apply into the LCM equation.

GCF(49350,49368) = 6
LCM(49350,49368) = ( 49350 × 49368) / 6
LCM(49350,49368) = 2436310800 / 6
LCM(49350,49368) = 406051800

Least Common Multiple (LCM) of 49350 and 49368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49350 and 49368. First we will calculate the prime factors of 49350 and 49368.

Prime Factorization of 49350

Prime Factorization of 49368

Now multiplying the highest exponent prime factors to calculate the LCM of 49350 and 49368.

LCM(49350,49368) = 2³ × 3¹ × 5² × 7¹ × 47¹ × 11² × 17¹
LCM(49350,49368) = 406051800