What is the Least Common Multiple of 70716 and 70721?

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 70716 and 70721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70716 and 70721, than apply into the LCM equation.

GCF(70716,70721) = 1
LCM(70716,70721) = ( 70716 × 70721) / 1
LCM(70716,70721) = 5001106236 / 1
LCM(70716,70721) = 5001106236

Least Common Multiple (LCM) of 70716 and 70721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70716 and 70721. First we will calculate the prime factors of 70716 and 70721.

Prime Factorization of 70716

Prime Factorization of 70721

Now multiplying the highest exponent prime factors to calculate the LCM of 70716 and 70721.

LCM(70716,70721) = 2² × 3¹ × 71¹ × 83¹ × 7¹ × 10103¹
LCM(70716,70721) = 5001106236