What is the Least Common Multiple of 49524 and 49536?

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 49524 and 49536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49524 and 49536, than apply into the LCM equation.

GCF(49524,49536) = 12
LCM(49524,49536) = ( 49524 × 49536) / 12
LCM(49524,49536) = 2453220864 / 12
LCM(49524,49536) = 204435072

Least Common Multiple (LCM) of 49524 and 49536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49524 and 49536. First we will calculate the prime factors of 49524 and 49536.

Prime Factorization of 49524

Prime Factorization of 49536

Now multiplying the highest exponent prime factors to calculate the LCM of 49524 and 49536.

LCM(49524,49536) = 2⁷ × 3² × 4127¹ × 43¹
LCM(49524,49536) = 204435072