What is the Least Common Multiple of 65702 and 65721?

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 65702 and 65721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65702 and 65721, than apply into the LCM equation.

GCF(65702,65721) = 19
LCM(65702,65721) = ( 65702 × 65721) / 19
LCM(65702,65721) = 4318001142 / 19
LCM(65702,65721) = 227263218

Least Common Multiple (LCM) of 65702 and 65721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65702 and 65721. First we will calculate the prime factors of 65702 and 65721.

Prime Factorization of 65702

Prime Factorization of 65721

Now multiplying the highest exponent prime factors to calculate the LCM of 65702 and 65721.

LCM(65702,65721) = 2¹ × 7¹ × 13¹ × 19² × 3¹ × 1153¹
LCM(65702,65721) = 227263218