What is the Least Common Multiple of 34940 and 34957?

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 34940 and 34957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34940 and 34957, than apply into the LCM equation.

GCF(34940,34957) = 1
LCM(34940,34957) = ( 34940 × 34957) / 1
LCM(34940,34957) = 1221397580 / 1
LCM(34940,34957) = 1221397580

Least Common Multiple (LCM) of 34940 and 34957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34940 and 34957. First we will calculate the prime factors of 34940 and 34957.

Prime Factorization of 34940

Prime Factorization of 34957

Now multiplying the highest exponent prime factors to calculate the LCM of 34940 and 34957.

LCM(34940,34957) = 2² × 5¹ × 1747¹ × 13¹ × 2689¹
LCM(34940,34957) = 1221397580