What is the Least Common Multiple of 34914 and 34932?

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 34914 and 34932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34914 and 34932, than apply into the LCM equation.

GCF(34914,34932) = 6
LCM(34914,34932) = ( 34914 × 34932) / 6
LCM(34914,34932) = 1219615848 / 6
LCM(34914,34932) = 203269308

Least Common Multiple (LCM) of 34914 and 34932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34914 and 34932. First we will calculate the prime factors of 34914 and 34932.

Prime Factorization of 34914

Prime Factorization of 34932

Now multiplying the highest exponent prime factors to calculate the LCM of 34914 and 34932.

LCM(34914,34932) = 2² × 3¹ × 11¹ × 23² × 41¹ × 71¹
LCM(34914,34932) = 203269308