What is the Least Common Multiple of 49852 and 49871?

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 49852 and 49871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49852 and 49871, than apply into the LCM equation.

GCF(49852,49871) = 1
LCM(49852,49871) = ( 49852 × 49871) / 1
LCM(49852,49871) = 2486169092 / 1
LCM(49852,49871) = 2486169092

Least Common Multiple (LCM) of 49852 and 49871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49852 and 49871. First we will calculate the prime factors of 49852 and 49871.

Prime Factorization of 49852

Prime Factorization of 49871

Now multiplying the highest exponent prime factors to calculate the LCM of 49852 and 49871.

LCM(49852,49871) = 2² × 11² × 103¹ × 49871¹
LCM(49852,49871) = 2486169092