What is the Least Common Multiple of 82710 and 82714?

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 82714 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 82714, than apply into the LCM equation.

GCF(82710,82714) = 2
LCM(82710,82714) = ( 82710 × 82714) / 2
LCM(82710,82714) = 6841274940 / 2
LCM(82710,82714) = 3420637470

Least Common Multiple (LCM) of 82710 and 82714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82710 and 82714. First we will calculate the prime factors of 82710 and 82714.

Prime Factorization of 82710

Prime Factorization of 82714

Now multiplying the highest exponent prime factors to calculate the LCM of 82710 and 82714.

LCM(82710,82714) = 2¹ × 3² × 5¹ × 919¹ × 41357¹
LCM(82710,82714) = 3420637470