What is the Least Common Multiple of 82698 and 82709?

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 82698 and 82709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82698 and 82709, than apply into the LCM equation.

GCF(82698,82709) = 11
LCM(82698,82709) = ( 82698 × 82709) / 11
LCM(82698,82709) = 6839868882 / 11
LCM(82698,82709) = 621806262

Least Common Multiple (LCM) of 82698 and 82709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82698 and 82709. First we will calculate the prime factors of 82698 and 82709.

Prime Factorization of 82698

Prime Factorization of 82709

Now multiplying the highest exponent prime factors to calculate the LCM of 82698 and 82709.

LCM(82698,82709) = 2¹ × 3¹ × 7¹ × 11¹ × 179¹ × 73¹ × 103¹
LCM(82698,82709) = 621806262