What is the Least Common Multiple of 49344 and 49350?

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 49344 and 49350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49344 and 49350, than apply into the LCM equation.

GCF(49344,49350) = 6
LCM(49344,49350) = ( 49344 × 49350) / 6
LCM(49344,49350) = 2435126400 / 6
LCM(49344,49350) = 405854400

Least Common Multiple (LCM) of 49344 and 49350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49344 and 49350. First we will calculate the prime factors of 49344 and 49350.

Prime Factorization of 49344

Prime Factorization of 49350

Now multiplying the highest exponent prime factors to calculate the LCM of 49344 and 49350.

LCM(49344,49350) = 2⁶ × 3¹ × 257¹ × 5² × 7¹ × 47¹
LCM(49344,49350) = 405854400