What is the Least Common Multiple of 81700 and 81711?

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 81700 and 81711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81700 and 81711, than apply into the LCM equation.

GCF(81700,81711) = 1
LCM(81700,81711) = ( 81700 × 81711) / 1
LCM(81700,81711) = 6675788700 / 1
LCM(81700,81711) = 6675788700

Least Common Multiple (LCM) of 81700 and 81711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81700 and 81711. First we will calculate the prime factors of 81700 and 81711.

Prime Factorization of 81700

Prime Factorization of 81711

Now multiplying the highest exponent prime factors to calculate the LCM of 81700 and 81711.

LCM(81700,81711) = 2² × 5² × 19¹ × 43¹ × 3² × 7¹ × 1297¹
LCM(81700,81711) = 6675788700