What is the Least Common Multiple of 86720 and 86729?

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 86720 and 86729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86720 and 86729, than apply into the LCM equation.

GCF(86720,86729) = 1
LCM(86720,86729) = ( 86720 × 86729) / 1
LCM(86720,86729) = 7521138880 / 1
LCM(86720,86729) = 7521138880

Least Common Multiple (LCM) of 86720 and 86729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86720 and 86729. First we will calculate the prime factors of 86720 and 86729.

Prime Factorization of 86720

Prime Factorization of 86729

Now multiplying the highest exponent prime factors to calculate the LCM of 86720 and 86729.

LCM(86720,86729) = 2⁶ × 5¹ × 271¹ × 86729¹
LCM(86720,86729) = 7521138880