What is the Least Common Multiple of 34935 and 34946?

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 34935 and 34946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34935 and 34946, than apply into the LCM equation.

GCF(34935,34946) = 1
LCM(34935,34946) = ( 34935 × 34946) / 1
LCM(34935,34946) = 1220838510 / 1
LCM(34935,34946) = 1220838510

Least Common Multiple (LCM) of 34935 and 34946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34935 and 34946. First we will calculate the prime factors of 34935 and 34946.

Prime Factorization of 34935

Prime Factorization of 34946

Now multiplying the highest exponent prime factors to calculate the LCM of 34935 and 34946.

LCM(34935,34946) = 3¹ × 5¹ × 17¹ × 137¹ × 2¹ × 101¹ × 173¹
LCM(34935,34946) = 1220838510