What is the Least Common Multiple of 34680 and 34697?

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 34680 and 34697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34680 and 34697, than apply into the LCM equation.

GCF(34680,34697) = 17
LCM(34680,34697) = ( 34680 × 34697) / 17
LCM(34680,34697) = 1203291960 / 17
LCM(34680,34697) = 70781880

Least Common Multiple (LCM) of 34680 and 34697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34680 and 34697. First we will calculate the prime factors of 34680 and 34697.

Prime Factorization of 34680

Prime Factorization of 34697

Now multiplying the highest exponent prime factors to calculate the LCM of 34680 and 34697.

LCM(34680,34697) = 2³ × 3¹ × 5¹ × 17² × 13¹ × 157¹
LCM(34680,34697) = 70781880