What is the Least Common Multiple of 49446 and 49450?

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 49446 and 49450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49446 and 49450, than apply into the LCM equation.

GCF(49446,49450) = 2
LCM(49446,49450) = ( 49446 × 49450) / 2
LCM(49446,49450) = 2445104700 / 2
LCM(49446,49450) = 1222552350

Least Common Multiple (LCM) of 49446 and 49450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49446 and 49450. First we will calculate the prime factors of 49446 and 49450.

Prime Factorization of 49446

Prime Factorization of 49450

Now multiplying the highest exponent prime factors to calculate the LCM of 49446 and 49450.

LCM(49446,49450) = 2¹ × 3² × 41¹ × 67¹ × 5² × 23¹ × 43¹
LCM(49446,49450) = 1222552350