What is the Least Common Multiple of 48984 and 49000?

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 48984 and 49000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48984 and 49000, than apply into the LCM equation.

GCF(48984,49000) = 8
LCM(48984,49000) = ( 48984 × 49000) / 8
LCM(48984,49000) = 2400216000 / 8
LCM(48984,49000) = 300027000

Least Common Multiple (LCM) of 48984 and 49000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48984 and 49000. First we will calculate the prime factors of 48984 and 49000.

Prime Factorization of 48984

Prime Factorization of 49000

Now multiplying the highest exponent prime factors to calculate the LCM of 48984 and 49000.

LCM(48984,49000) = 2³ × 3¹ × 13¹ × 157¹ × 5³ × 7²
LCM(48984,49000) = 300027000