What is the Least Common Multiple of 82733 and 82747?

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 82733 and 82747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82733 and 82747, than apply into the LCM equation.

GCF(82733,82747) = 7
LCM(82733,82747) = ( 82733 × 82747) / 7
LCM(82733,82747) = 6845907551 / 7
LCM(82733,82747) = 977986793

Least Common Multiple (LCM) of 82733 and 82747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82733 and 82747. First we will calculate the prime factors of 82733 and 82747.

Prime Factorization of 82733

Prime Factorization of 82747

Now multiplying the highest exponent prime factors to calculate the LCM of 82733 and 82747.

LCM(82733,82747) = 7¹ × 53¹ × 223¹ × 11821¹
LCM(82733,82747) = 977986793