What is the Least Common Multiple of 75701 and 75721?

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 75701 and 75721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75701 and 75721, than apply into the LCM equation.

GCF(75701,75721) = 1
LCM(75701,75721) = ( 75701 × 75721) / 1
LCM(75701,75721) = 5732155421 / 1
LCM(75701,75721) = 5732155421

Least Common Multiple (LCM) of 75701 and 75721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75701 and 75721. First we will calculate the prime factors of 75701 and 75721.

Prime Factorization of 75701

Prime Factorization of 75721

Now multiplying the highest exponent prime factors to calculate the LCM of 75701 and 75721.

LCM(75701,75721) = 17¹ × 61¹ × 73¹ × 75721¹
LCM(75701,75721) = 5732155421