What is the Least Common Multiple of 48868 and 48883?

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 48868 and 48883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48868 and 48883, than apply into the LCM equation.

GCF(48868,48883) = 1
LCM(48868,48883) = ( 48868 × 48883) / 1
LCM(48868,48883) = 2388814444 / 1
LCM(48868,48883) = 2388814444

Least Common Multiple (LCM) of 48868 and 48883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48868 and 48883. First we will calculate the prime factors of 48868 and 48883.

Prime Factorization of 48868

Prime Factorization of 48883

Now multiplying the highest exponent prime factors to calculate the LCM of 48868 and 48883.

LCM(48868,48883) = 2² × 19¹ × 643¹ × 48883¹
LCM(48868,48883) = 2388814444