What is the Least Common Multiple of 70314 and 70334?

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 70314 and 70334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70314 and 70334, than apply into the LCM equation.

GCF(70314,70334) = 2
LCM(70314,70334) = ( 70314 × 70334) / 2
LCM(70314,70334) = 4945464876 / 2
LCM(70314,70334) = 2472732438

Least Common Multiple (LCM) of 70314 and 70334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70314 and 70334. First we will calculate the prime factors of 70314 and 70334.

Prime Factorization of 70314

Prime Factorization of 70334

Now multiplying the highest exponent prime factors to calculate the LCM of 70314 and 70334.

LCM(70314,70334) = 2¹ × 3¹ × 11719¹ × 11¹ × 23¹ × 139¹
LCM(70314,70334) = 2472732438