What is the Least Common Multiple of 82720 and 82733?

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 82720 and 82733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82720 and 82733, than apply into the LCM equation.

GCF(82720,82733) = 1
LCM(82720,82733) = ( 82720 × 82733) / 1
LCM(82720,82733) = 6843673760 / 1
LCM(82720,82733) = 6843673760

Least Common Multiple (LCM) of 82720 and 82733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82720 and 82733. First we will calculate the prime factors of 82720 and 82733.

Prime Factorization of 82720

Prime Factorization of 82733

Now multiplying the highest exponent prime factors to calculate the LCM of 82720 and 82733.

LCM(82720,82733) = 2⁵ × 5¹ × 11¹ × 47¹ × 7¹ × 53¹ × 223¹
LCM(82720,82733) = 6843673760