What is the Least Common Multiple of 49024 and 49040?

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 49024 and 49040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49024 and 49040, than apply into the LCM equation.

GCF(49024,49040) = 16
LCM(49024,49040) = ( 49024 × 49040) / 16
LCM(49024,49040) = 2404136960 / 16
LCM(49024,49040) = 150258560

Least Common Multiple (LCM) of 49024 and 49040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49024 and 49040. First we will calculate the prime factors of 49024 and 49040.

Prime Factorization of 49024

Prime Factorization of 49040

Now multiplying the highest exponent prime factors to calculate the LCM of 49024 and 49040.

LCM(49024,49040) = 2⁷ × 383¹ × 5¹ × 613¹
LCM(49024,49040) = 150258560