What is the Least Common Multiple of 49446 and 49458?

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 49458 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 49458, than apply into the LCM equation.

GCF(49446,49458) = 6
LCM(49446,49458) = ( 49446 × 49458) / 6
LCM(49446,49458) = 2445500268 / 6
LCM(49446,49458) = 407583378

Least Common Multiple (LCM) of 49446 and 49458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49446 and 49458. First we will calculate the prime factors of 49446 and 49458.

Prime Factorization of 49446

Prime Factorization of 49458

Now multiplying the highest exponent prime factors to calculate the LCM of 49446 and 49458.

LCM(49446,49458) = 2¹ × 3² × 41¹ × 67¹ × 8243¹
LCM(49446,49458) = 407583378