What is the Least Common Multiple of 69714 and 69721?

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 69714 and 69721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69714 and 69721, than apply into the LCM equation.

GCF(69714,69721) = 1
LCM(69714,69721) = ( 69714 × 69721) / 1
LCM(69714,69721) = 4860529794 / 1
LCM(69714,69721) = 4860529794

Least Common Multiple (LCM) of 69714 and 69721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69714 and 69721. First we will calculate the prime factors of 69714 and 69721.

Prime Factorization of 69714

Prime Factorization of 69721

Now multiplying the highest exponent prime factors to calculate the LCM of 69714 and 69721.

LCM(69714,69721) = 2¹ × 3³ × 1291¹ × 113¹ × 617¹
LCM(69714,69721) = 4860529794