What is the Least Common Multiple of 69653 and 69673?

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 69653 and 69673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69653 and 69673, than apply into the LCM equation.

GCF(69653,69673) = 1
LCM(69653,69673) = ( 69653 × 69673) / 1
LCM(69653,69673) = 4852933469 / 1
LCM(69653,69673) = 4852933469

Least Common Multiple (LCM) of 69653 and 69673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69653 and 69673. First we will calculate the prime factors of 69653 and 69673.

Prime Factorization of 69653

Prime Factorization of 69673

Now multiplying the highest exponent prime factors to calculate the LCM of 69653 and 69673.

LCM(69653,69673) = 69653¹ × 19² × 193¹
LCM(69653,69673) = 4852933469