What is the Least Common Multiple of 86760 and 86765?

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 86760 and 86765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86760 and 86765, than apply into the LCM equation.

GCF(86760,86765) = 5
LCM(86760,86765) = ( 86760 × 86765) / 5
LCM(86760,86765) = 7527731400 / 5
LCM(86760,86765) = 1505546280

Least Common Multiple (LCM) of 86760 and 86765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86760 and 86765. First we will calculate the prime factors of 86760 and 86765.

Prime Factorization of 86760

Prime Factorization of 86765

Now multiplying the highest exponent prime factors to calculate the LCM of 86760 and 86765.

LCM(86760,86765) = 2³ × 3² × 5¹ × 241¹ × 7¹ × 37¹ × 67¹
LCM(86760,86765) = 1505546280