What is the Least Common Multiple of 48460 and 48467?

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 48460 and 48467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48460 and 48467, than apply into the LCM equation.

GCF(48460,48467) = 1
LCM(48460,48467) = ( 48460 × 48467) / 1
LCM(48460,48467) = 2348710820 / 1
LCM(48460,48467) = 2348710820

Least Common Multiple (LCM) of 48460 and 48467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48460 and 48467. First we will calculate the prime factors of 48460 and 48467.

Prime Factorization of 48460

Prime Factorization of 48467

Now multiplying the highest exponent prime factors to calculate the LCM of 48460 and 48467.

LCM(48460,48467) = 2² × 5¹ × 2423¹ × 17¹ × 2851¹
LCM(48460,48467) = 2348710820