What is the Least Common Multiple of 81893 and 81900?

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 81893 and 81900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81893 and 81900, than apply into the LCM equation.

GCF(81893,81900) = 7
LCM(81893,81900) = ( 81893 × 81900) / 7
LCM(81893,81900) = 6707036700 / 7
LCM(81893,81900) = 958148100

Least Common Multiple (LCM) of 81893 and 81900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81893 and 81900. First we will calculate the prime factors of 81893 and 81900.

Prime Factorization of 81893

Prime Factorization of 81900

Now multiplying the highest exponent prime factors to calculate the LCM of 81893 and 81900.

LCM(81893,81900) = 7¹ × 11699¹ × 2² × 3² × 5² × 13¹
LCM(81893,81900) = 958148100