What is the Least Common Multiple of 70683 and 70699?

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 70683 and 70699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70683 and 70699, than apply into the LCM equation.

GCF(70683,70699) = 1
LCM(70683,70699) = ( 70683 × 70699) / 1
LCM(70683,70699) = 4997217417 / 1
LCM(70683,70699) = 4997217417

Least Common Multiple (LCM) of 70683 and 70699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70683 and 70699. First we will calculate the prime factors of 70683 and 70699.

Prime Factorization of 70683

Prime Factorization of 70699

Now multiplying the highest exponent prime factors to calculate the LCM of 70683 and 70699.

LCM(70683,70699) = 3¹ × 23561¹ × 19¹ × 61²
LCM(70683,70699) = 4997217417