What is the Least Common Multiple of 86729 and 86734?

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 86729 and 86734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86729 and 86734, than apply into the LCM equation.

GCF(86729,86734) = 1
LCM(86729,86734) = ( 86729 × 86734) / 1
LCM(86729,86734) = 7522353086 / 1
LCM(86729,86734) = 7522353086

Least Common Multiple (LCM) of 86729 and 86734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86729 and 86734. First we will calculate the prime factors of 86729 and 86734.

Prime Factorization of 86729

Prime Factorization of 86734

Now multiplying the highest exponent prime factors to calculate the LCM of 86729 and 86734.

LCM(86729,86734) = 86729¹ × 2¹ × 17¹ × 2551¹
LCM(86729,86734) = 7522353086