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What is the Least Common Multiple of 40463 and 40476?

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 40463 and 40476 is 1637780388.

LCM(40463,40476) = 1637780388

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Least Common Multiple of 40463 and 40476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40463 and 40476, than apply into the LCM equation.

GCF(40463,40476) = 1
LCM(40463,40476) = ( 40463 × 40476) / 1
LCM(40463,40476) = 1637780388 / 1
LCM(40463,40476) = 1637780388

Least Common Multiple (LCM) of 40463 and 40476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40463 and 40476. First we will calculate the prime factors of 40463 and 40476.

Prime Factorization of 40463

Prime factors of 40463 are 43, 941. Prime factorization of 40463 in exponential form is:

40463 = 431 × 9411

Prime Factorization of 40476

Prime factors of 40476 are 2, 3, 3373. Prime factorization of 40476 in exponential form is:

40476 = 22 × 31 × 33731

Now multiplying the highest exponent prime factors to calculate the LCM of 40463 and 40476.

LCM(40463,40476) = 431 × 9411 × 22 × 31 × 33731
LCM(40463,40476) = 1637780388