What is the Least Common Multiple of 82884 and 82900?

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 82884 and 82900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82884 and 82900, than apply into the LCM equation.

GCF(82884,82900) = 4
LCM(82884,82900) = ( 82884 × 82900) / 4
LCM(82884,82900) = 6871083600 / 4
LCM(82884,82900) = 1717770900

Least Common Multiple (LCM) of 82884 and 82900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82884 and 82900. First we will calculate the prime factors of 82884 and 82900.

Prime Factorization of 82884

Prime Factorization of 82900

Now multiplying the highest exponent prime factors to calculate the LCM of 82884 and 82900.

LCM(82884,82900) = 2² × 3¹ × 6907¹ × 5² × 829¹
LCM(82884,82900) = 1717770900