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What is the Least Common Multiple of 40946 and 40958?

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 (LCM) of 40946 and 40958 is 838533134.

LCM(40946,40958) = 838533134

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Least Common Multiple of 40946 and 40958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40946 and 40958, than apply into the LCM equation.

GCF(40946,40958) = 2
LCM(40946,40958) = ( 40946 × 40958) / 2
LCM(40946,40958) = 1677066268 / 2
LCM(40946,40958) = 838533134

Least Common Multiple (LCM) of 40946 and 40958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40946 and 40958. First we will calculate the prime factors of 40946 and 40958.

Prime Factorization of 40946

Prime factors of 40946 are 2, 59, 347. Prime factorization of 40946 in exponential form is:

40946 = 21 × 591 × 3471

Prime Factorization of 40958

Prime factors of 40958 are 2, 20479. Prime factorization of 40958 in exponential form is:

40958 = 21 × 204791

Now multiplying the highest exponent prime factors to calculate the LCM of 40946 and 40958.

LCM(40946,40958) = 21 × 591 × 3471 × 204791
LCM(40946,40958) = 838533134