What is the Least Common Multiple of 48678 and 48688?

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 48678 and 48688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48678 and 48688, than apply into the LCM equation.

GCF(48678,48688) = 2
LCM(48678,48688) = ( 48678 × 48688) / 2
LCM(48678,48688) = 2370034464 / 2
LCM(48678,48688) = 1185017232

Least Common Multiple (LCM) of 48678 and 48688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48678 and 48688. First we will calculate the prime factors of 48678 and 48688.

Prime Factorization of 48678

Prime Factorization of 48688

Now multiplying the highest exponent prime factors to calculate the LCM of 48678 and 48688.

LCM(48678,48688) = 2⁴ × 3¹ × 7¹ × 19¹ × 61¹ × 17¹ × 179¹
LCM(48678,48688) = 1185017232