What is the Least Common Multiple of 4845 and 4862?

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 4845 and 4862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4845 and 4862, than apply into the LCM equation.

GCF(4845,4862) = 17
LCM(4845,4862) = ( 4845 × 4862) / 17
LCM(4845,4862) = 23556390 / 17
LCM(4845,4862) = 1385670

Least Common Multiple (LCM) of 4845 and 4862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4845 and 4862. First we will calculate the prime factors of 4845 and 4862.

Prime Factorization of 4845

Prime Factorization of 4862

Now multiplying the highest exponent prime factors to calculate the LCM of 4845 and 4862.

LCM(4845,4862) = 3¹ × 5¹ × 17¹ × 19¹ × 2¹ × 11¹ × 13¹
LCM(4845,4862) = 1385670