What is the Least Common Multiple of 49048 and 49067?

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 49048 and 49067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49048 and 49067, than apply into the LCM equation.

GCF(49048,49067) = 1
LCM(49048,49067) = ( 49048 × 49067) / 1
LCM(49048,49067) = 2406638216 / 1
LCM(49048,49067) = 2406638216

Least Common Multiple (LCM) of 49048 and 49067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49048 and 49067. First we will calculate the prime factors of 49048 and 49067.

Prime Factorization of 49048

Prime Factorization of 49067

Now multiplying the highest exponent prime factors to calculate the LCM of 49048 and 49067.

LCM(49048,49067) = 2³ × 6131¹ × 139¹ × 353¹
LCM(49048,49067) = 2406638216