What is the Least Common Multiple of 69583 and 69591?

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 69583 and 69591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69583 and 69591, than apply into the LCM equation.

GCF(69583,69591) = 1
LCM(69583,69591) = ( 69583 × 69591) / 1
LCM(69583,69591) = 4842350553 / 1
LCM(69583,69591) = 4842350553

Least Common Multiple (LCM) of 69583 and 69591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69583 and 69591. First we will calculate the prime factors of 69583 and 69591.

Prime Factorization of 69583

Prime Factorization of 69591

Now multiplying the highest exponent prime factors to calculate the LCM of 69583 and 69591.

LCM(69583,69591) = 149¹ × 467¹ × 3¹ × 23197¹
LCM(69583,69591) = 4842350553