What is the Least Common Multiple of 49664 and 49674?

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 49664 and 49674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49664 and 49674, than apply into the LCM equation.

GCF(49664,49674) = 2
LCM(49664,49674) = ( 49664 × 49674) / 2
LCM(49664,49674) = 2467009536 / 2
LCM(49664,49674) = 1233504768

Least Common Multiple (LCM) of 49664 and 49674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49664 and 49674. First we will calculate the prime factors of 49664 and 49674.

Prime Factorization of 49664

Prime Factorization of 49674

Now multiplying the highest exponent prime factors to calculate the LCM of 49664 and 49674.

LCM(49664,49674) = 2⁹ × 97¹ × 3¹ × 17¹ × 487¹
LCM(49664,49674) = 1233504768