What is the Least Common Multiple of 70405 and 70423?

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 70405 and 70423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70405 and 70423, than apply into the LCM equation.

GCF(70405,70423) = 1
LCM(70405,70423) = ( 70405 × 70423) / 1
LCM(70405,70423) = 4958131315 / 1
LCM(70405,70423) = 4958131315

Least Common Multiple (LCM) of 70405 and 70423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70405 and 70423. First we will calculate the prime factors of 70405 and 70423.

Prime Factorization of 70405

Prime Factorization of 70423

Now multiplying the highest exponent prime factors to calculate the LCM of 70405 and 70423.

LCM(70405,70423) = 5¹ × 14081¹ × 70423¹
LCM(70405,70423) = 4958131315