What is the Least Common Multiple of 60829 and 60844?

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 60829 and 60844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60829 and 60844, than apply into the LCM equation.

GCF(60829,60844) = 1
LCM(60829,60844) = ( 60829 × 60844) / 1
LCM(60829,60844) = 3701079676 / 1
LCM(60829,60844) = 3701079676

Least Common Multiple (LCM) of 60829 and 60844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60829 and 60844. First we will calculate the prime factors of 60829 and 60844.

Prime Factorization of 60829

Prime Factorization of 60844

Now multiplying the highest exponent prime factors to calculate the LCM of 60829 and 60844.

LCM(60829,60844) = 59¹ × 1031¹ × 2² × 7¹ × 41¹ × 53¹
LCM(60829,60844) = 3701079676