What is the Least Common Multiple of 86410 and 86426?

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 86410 and 86426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86410 and 86426, than apply into the LCM equation.

GCF(86410,86426) = 2
LCM(86410,86426) = ( 86410 × 86426) / 2
LCM(86410,86426) = 7468070660 / 2
LCM(86410,86426) = 3734035330

Least Common Multiple (LCM) of 86410 and 86426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86410 and 86426. First we will calculate the prime factors of 86410 and 86426.

Prime Factorization of 86410

Prime Factorization of 86426

Now multiplying the highest exponent prime factors to calculate the LCM of 86410 and 86426.

LCM(86410,86426) = 2¹ × 5¹ × 8641¹ × 79¹ × 547¹
LCM(86410,86426) = 3734035330