What is the Least Common Multiple of 84702 and 84721?

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 84702 and 84721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84702 and 84721, than apply into the LCM equation.

GCF(84702,84721) = 19
LCM(84702,84721) = ( 84702 × 84721) / 19
LCM(84702,84721) = 7176038142 / 19
LCM(84702,84721) = 377686218

Least Common Multiple (LCM) of 84702 and 84721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84702 and 84721. First we will calculate the prime factors of 84702 and 84721.

Prime Factorization of 84702

Prime Factorization of 84721

Now multiplying the highest exponent prime factors to calculate the LCM of 84702 and 84721.

LCM(84702,84721) = 2¹ × 3¹ × 19¹ × 743¹ × 7³ × 13¹
LCM(84702,84721) = 377686218