What is the Least Common Multiple of 48234 and 48251?

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 48234 and 48251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48234 and 48251, than apply into the LCM equation.

GCF(48234,48251) = 1
LCM(48234,48251) = ( 48234 × 48251) / 1
LCM(48234,48251) = 2327338734 / 1
LCM(48234,48251) = 2327338734

Least Common Multiple (LCM) of 48234 and 48251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48234 and 48251. First we will calculate the prime factors of 48234 and 48251.

Prime Factorization of 48234

Prime Factorization of 48251

Now multiplying the highest exponent prime factors to calculate the LCM of 48234 and 48251.

LCM(48234,48251) = 2¹ × 3¹ × 8039¹ × 7¹ × 61¹ × 113¹
LCM(48234,48251) = 2327338734