What is the Least Common Multiple of 60844 and 60849?

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 60844 and 60849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60844 and 60849, than apply into the LCM equation.

GCF(60844,60849) = 1
LCM(60844,60849) = ( 60844 × 60849) / 1
LCM(60844,60849) = 3702296556 / 1
LCM(60844,60849) = 3702296556

Least Common Multiple (LCM) of 60844 and 60849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60844 and 60849. First we will calculate the prime factors of 60844 and 60849.

Prime Factorization of 60844

Prime Factorization of 60849

Now multiplying the highest exponent prime factors to calculate the LCM of 60844 and 60849.

LCM(60844,60849) = 2² × 7¹ × 41¹ × 53¹ × 3² × 6761¹
LCM(60844,60849) = 3702296556