What is the Least Common Multiple of 48714 and 48726?

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 48714 and 48726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48714 and 48726, than apply into the LCM equation.

GCF(48714,48726) = 6
LCM(48714,48726) = ( 48714 × 48726) / 6
LCM(48714,48726) = 2373638364 / 6
LCM(48714,48726) = 395606394

Least Common Multiple (LCM) of 48714 and 48726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48714 and 48726. First we will calculate the prime factors of 48714 and 48726.

Prime Factorization of 48714

Prime Factorization of 48726

Now multiplying the highest exponent prime factors to calculate the LCM of 48714 and 48726.

LCM(48714,48726) = 2¹ × 3² × 23¹ × 353¹ × 2707¹
LCM(48714,48726) = 395606394