What is the Least Common Multiple of 93409 and 93423?

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 93409 and 93423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93409 and 93423, than apply into the LCM equation.

GCF(93409,93423) = 1
LCM(93409,93423) = ( 93409 × 93423) / 1
LCM(93409,93423) = 8726549007 / 1
LCM(93409,93423) = 8726549007

Least Common Multiple (LCM) of 93409 and 93423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93409 and 93423. First we will calculate the prime factors of 93409 and 93423.

Prime Factorization of 93409

Prime Factorization of 93423

Now multiplying the highest exponent prime factors to calculate the LCM of 93409 and 93423.

LCM(93409,93423) = 29¹ × 3221¹ × 3¹ × 11¹ × 19¹ × 149¹
LCM(93409,93423) = 8726549007