What is the Least Common Multiple of 58435 and 58454?

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 58435 and 58454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58435 and 58454, than apply into the LCM equation.

GCF(58435,58454) = 1
LCM(58435,58454) = ( 58435 × 58454) / 1
LCM(58435,58454) = 3415759490 / 1
LCM(58435,58454) = 3415759490

Least Common Multiple (LCM) of 58435 and 58454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58435 and 58454. First we will calculate the prime factors of 58435 and 58454.

Prime Factorization of 58435

Prime Factorization of 58454

Now multiplying the highest exponent prime factors to calculate the LCM of 58435 and 58454.

LCM(58435,58454) = 5¹ × 13¹ × 29¹ × 31¹ × 2¹ × 11¹ × 2657¹
LCM(58435,58454) = 3415759490