What is the Least Common Multiple of 60824 and 60843?

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 60824 and 60843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60824 and 60843, than apply into the LCM equation.

GCF(60824,60843) = 1
LCM(60824,60843) = ( 60824 × 60843) / 1
LCM(60824,60843) = 3700714632 / 1
LCM(60824,60843) = 3700714632

Least Common Multiple (LCM) of 60824 and 60843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60824 and 60843. First we will calculate the prime factors of 60824 and 60843.

Prime Factorization of 60824

Prime Factorization of 60843

Now multiplying the highest exponent prime factors to calculate the LCM of 60824 and 60843.

LCM(60824,60843) = 2³ × 7603¹ × 3¹ × 17¹ × 1193¹
LCM(60824,60843) = 3700714632