What is the Least Common Multiple of 71653 and 71659?

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 71653 and 71659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71653 and 71659, than apply into the LCM equation.

GCF(71653,71659) = 1
LCM(71653,71659) = ( 71653 × 71659) / 1
LCM(71653,71659) = 5134582327 / 1
LCM(71653,71659) = 5134582327

Least Common Multiple (LCM) of 71653 and 71659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71653 and 71659. First we will calculate the prime factors of 71653 and 71659.

Prime Factorization of 71653

Prime Factorization of 71659

Now multiplying the highest exponent prime factors to calculate the LCM of 71653 and 71659.

LCM(71653,71659) = 79¹ × 907¹ × 7¹ × 29¹ × 353¹
LCM(71653,71659) = 5134582327