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What is the Least Common Multiple of 40456 and 40468?

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 40456 and 40468 is 409293352.

LCM(40456,40468) = 409293352

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Least Common Multiple of 40456 and 40468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40456 and 40468, than apply into the LCM equation.

GCF(40456,40468) = 4
LCM(40456,40468) = ( 40456 × 40468) / 4
LCM(40456,40468) = 1637173408 / 4
LCM(40456,40468) = 409293352

Least Common Multiple (LCM) of 40456 and 40468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40456 and 40468. First we will calculate the prime factors of 40456 and 40468.

Prime Factorization of 40456

Prime factors of 40456 are 2, 13, 389. Prime factorization of 40456 in exponential form is:

40456 = 23 × 131 × 3891

Prime Factorization of 40468

Prime factors of 40468 are 2, 67, 151. Prime factorization of 40468 in exponential form is:

40468 = 22 × 671 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 40456 and 40468.

LCM(40456,40468) = 23 × 131 × 3891 × 671 × 1511
LCM(40456,40468) = 409293352