What is the Least Common Multiple of 48668 and 48682?

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 48668 and 48682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48668 and 48682, than apply into the LCM equation.

GCF(48668,48682) = 2
LCM(48668,48682) = ( 48668 × 48682) / 2
LCM(48668,48682) = 2369255576 / 2
LCM(48668,48682) = 1184627788

Least Common Multiple (LCM) of 48668 and 48682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48668 and 48682. First we will calculate the prime factors of 48668 and 48682.

Prime Factorization of 48668

Prime Factorization of 48682

Now multiplying the highest exponent prime factors to calculate the LCM of 48668 and 48682.

LCM(48668,48682) = 2² × 23³ × 101¹ × 241¹
LCM(48668,48682) = 1184627788