What is the Least Common Multiple of 48260 and 48279?

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 48260 and 48279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48260 and 48279, than apply into the LCM equation.

GCF(48260,48279) = 19
LCM(48260,48279) = ( 48260 × 48279) / 19
LCM(48260,48279) = 2329944540 / 19
LCM(48260,48279) = 122628660

Least Common Multiple (LCM) of 48260 and 48279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48260 and 48279. First we will calculate the prime factors of 48260 and 48279.

Prime Factorization of 48260

Prime Factorization of 48279

Now multiplying the highest exponent prime factors to calculate the LCM of 48260 and 48279.

LCM(48260,48279) = 2² × 5¹ × 19¹ × 127¹ × 3¹ × 7¹ × 11²
LCM(48260,48279) = 122628660