What is the Least Common Multiple of 60823 and 60836?

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 60823 and 60836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60823 and 60836, than apply into the LCM equation.

GCF(60823,60836) = 1
LCM(60823,60836) = ( 60823 × 60836) / 1
LCM(60823,60836) = 3700228028 / 1
LCM(60823,60836) = 3700228028

Least Common Multiple (LCM) of 60823 and 60836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60823 and 60836. First we will calculate the prime factors of 60823 and 60836.

Prime Factorization of 60823

Prime Factorization of 60836

Now multiplying the highest exponent prime factors to calculate the LCM of 60823 and 60836.

LCM(60823,60836) = 7¹ × 8689¹ × 2² × 67¹ × 227¹
LCM(60823,60836) = 3700228028