What is the Least Common Multiple of 49068 and 49083?

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 49068 and 49083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49068 and 49083, than apply into the LCM equation.

GCF(49068,49083) = 3
LCM(49068,49083) = ( 49068 × 49083) / 3
LCM(49068,49083) = 2408404644 / 3
LCM(49068,49083) = 802801548

Least Common Multiple (LCM) of 49068 and 49083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49068 and 49083. First we will calculate the prime factors of 49068 and 49083.

Prime Factorization of 49068

Prime Factorization of 49083

Now multiplying the highest exponent prime factors to calculate the LCM of 49068 and 49083.

LCM(49068,49083) = 2² × 3² × 29¹ × 47¹ × 16361¹
LCM(49068,49083) = 802801548