What is the Least Common Multiple of 48988 and 49003?

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 48988 and 49003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48988 and 49003, than apply into the LCM equation.

GCF(48988,49003) = 1
LCM(48988,49003) = ( 48988 × 49003) / 1
LCM(48988,49003) = 2400558964 / 1
LCM(48988,49003) = 2400558964

Least Common Multiple (LCM) of 48988 and 49003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48988 and 49003. First we will calculate the prime factors of 48988 and 49003.

Prime Factorization of 48988

Prime Factorization of 49003

Now multiplying the highest exponent prime factors to calculate the LCM of 48988 and 49003.

LCM(48988,49003) = 2² × 37¹ × 331¹ × 49003¹
LCM(48988,49003) = 2400558964