What is the Least Common Multiple of 48673 and 48686?

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 48673 and 48686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48673 and 48686, than apply into the LCM equation.

GCF(48673,48686) = 1
LCM(48673,48686) = ( 48673 × 48686) / 1
LCM(48673,48686) = 2369693678 / 1
LCM(48673,48686) = 2369693678

Least Common Multiple (LCM) of 48673 and 48686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48673 and 48686. First we will calculate the prime factors of 48673 and 48686.

Prime Factorization of 48673

Prime Factorization of 48686

Now multiplying the highest exponent prime factors to calculate the LCM of 48673 and 48686.

LCM(48673,48686) = 48673¹ × 2¹ × 11¹ × 2213¹
LCM(48673,48686) = 2369693678