What is the Least Common Multiple of 86754 and 86769?

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 86754 and 86769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86754 and 86769, than apply into the LCM equation.

GCF(86754,86769) = 3
LCM(86754,86769) = ( 86754 × 86769) / 3
LCM(86754,86769) = 7527557826 / 3
LCM(86754,86769) = 2509185942

Least Common Multiple (LCM) of 86754 and 86769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86754 and 86769. First we will calculate the prime factors of 86754 and 86769.

Prime Factorization of 86754

Prime Factorization of 86769

Now multiplying the highest exponent prime factors to calculate the LCM of 86754 and 86769.

LCM(86754,86769) = 2¹ × 3² × 19¹ × 761¹ × 31¹ × 311¹
LCM(86754,86769) = 2509185942