What is the Least Common Multiple of 48276 and 48295?

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 48276 and 48295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48276 and 48295, than apply into the LCM equation.

GCF(48276,48295) = 1
LCM(48276,48295) = ( 48276 × 48295) / 1
LCM(48276,48295) = 2331489420 / 1
LCM(48276,48295) = 2331489420

Least Common Multiple (LCM) of 48276 and 48295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48276 and 48295. First we will calculate the prime factors of 48276 and 48295.

Prime Factorization of 48276

Prime Factorization of 48295

Now multiplying the highest exponent prime factors to calculate the LCM of 48276 and 48295.

LCM(48276,48295) = 2² × 3⁴ × 149¹ × 5¹ × 13¹ × 743¹
LCM(48276,48295) = 2331489420