What is the Least Common Multiple of 49536 and 49545?

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 49536 and 49545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49536 and 49545, than apply into the LCM equation.

GCF(49536,49545) = 9
LCM(49536,49545) = ( 49536 × 49545) / 9
LCM(49536,49545) = 2454261120 / 9
LCM(49536,49545) = 272695680

Least Common Multiple (LCM) of 49536 and 49545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49536 and 49545. First we will calculate the prime factors of 49536 and 49545.

Prime Factorization of 49536

Prime Factorization of 49545

Now multiplying the highest exponent prime factors to calculate the LCM of 49536 and 49545.

LCM(49536,49545) = 2⁷ × 3³ × 43¹ × 5¹ × 367¹
LCM(49536,49545) = 272695680