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What is the Least Common Multiple of 40467 and 40477?

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 40467 and 40477 is 1637982759.

LCM(40467,40477) = 1637982759

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Least Common Multiple of 40467 and 40477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40467 and 40477, than apply into the LCM equation.

GCF(40467,40477) = 1
LCM(40467,40477) = ( 40467 × 40477) / 1
LCM(40467,40477) = 1637982759 / 1
LCM(40467,40477) = 1637982759

Least Common Multiple (LCM) of 40467 and 40477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40467 and 40477. First we will calculate the prime factors of 40467 and 40477.

Prime Factorization of 40467

Prime factors of 40467 are 3, 7, 41, 47. Prime factorization of 40467 in exponential form is:

40467 = 31 × 71 × 411 × 471

Prime Factorization of 40477

Prime factors of 40477 are 17, 2381. Prime factorization of 40477 in exponential form is:

40477 = 171 × 23811

Now multiplying the highest exponent prime factors to calculate the LCM of 40467 and 40477.

LCM(40467,40477) = 31 × 71 × 411 × 471 × 171 × 23811
LCM(40467,40477) = 1637982759