What is the Least Common Multiple of 86435 and 86454?

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 86435 and 86454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86435 and 86454, than apply into the LCM equation.

GCF(86435,86454) = 1
LCM(86435,86454) = ( 86435 × 86454) / 1
LCM(86435,86454) = 7472651490 / 1
LCM(86435,86454) = 7472651490

Least Common Multiple (LCM) of 86435 and 86454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86435 and 86454. First we will calculate the prime factors of 86435 and 86454.

Prime Factorization of 86435

Prime Factorization of 86454

Now multiplying the highest exponent prime factors to calculate the LCM of 86435 and 86454.

LCM(86435,86454) = 5¹ × 59¹ × 293¹ × 2¹ × 3³ × 1601¹
LCM(86435,86454) = 7472651490