What is the Least Common Multiple of 48688 and 48706?

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 48688 and 48706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48688 and 48706, than apply into the LCM equation.

GCF(48688,48706) = 2
LCM(48688,48706) = ( 48688 × 48706) / 2
LCM(48688,48706) = 2371397728 / 2
LCM(48688,48706) = 1185698864

Least Common Multiple (LCM) of 48688 and 48706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48688 and 48706. First we will calculate the prime factors of 48688 and 48706.

Prime Factorization of 48688

Prime Factorization of 48706

Now multiplying the highest exponent prime factors to calculate the LCM of 48688 and 48706.

LCM(48688,48706) = 2⁴ × 17¹ × 179¹ × 7³ × 71¹
LCM(48688,48706) = 1185698864