What is the Least Common Multiple of 82710 and 82730?

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 82710 and 82730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82710 and 82730, than apply into the LCM equation.

GCF(82710,82730) = 10
LCM(82710,82730) = ( 82710 × 82730) / 10
LCM(82710,82730) = 6842598300 / 10
LCM(82710,82730) = 684259830

Least Common Multiple (LCM) of 82710 and 82730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82710 and 82730. First we will calculate the prime factors of 82710 and 82730.

Prime Factorization of 82710

Prime Factorization of 82730

Now multiplying the highest exponent prime factors to calculate the LCM of 82710 and 82730.

LCM(82710,82730) = 2¹ × 3² × 5¹ × 919¹ × 8273¹
LCM(82710,82730) = 684259830