What is the Least Common Multiple of 49848 and 49860?

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 49848 and 49860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49848 and 49860, than apply into the LCM equation.

GCF(49848,49860) = 12
LCM(49848,49860) = ( 49848 × 49860) / 12
LCM(49848,49860) = 2485421280 / 12
LCM(49848,49860) = 207118440

Least Common Multiple (LCM) of 49848 and 49860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49848 and 49860. First we will calculate the prime factors of 49848 and 49860.

Prime Factorization of 49848

Prime Factorization of 49860

Now multiplying the highest exponent prime factors to calculate the LCM of 49848 and 49860.

LCM(49848,49860) = 2³ × 3² × 31¹ × 67¹ × 5¹ × 277¹
LCM(49848,49860) = 207118440