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What is the Least Common Multiple of 40619 and 40630?

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 40619 and 40630 is 1650349970.

LCM(40619,40630) = 1650349970

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Least Common Multiple of 40619 and 40630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40619 and 40630, than apply into the LCM equation.

GCF(40619,40630) = 1
LCM(40619,40630) = ( 40619 × 40630) / 1
LCM(40619,40630) = 1650349970 / 1
LCM(40619,40630) = 1650349970

Least Common Multiple (LCM) of 40619 and 40630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40619 and 40630. First we will calculate the prime factors of 40619 and 40630.

Prime Factorization of 40619

Prime factors of 40619 are 151, 269. Prime factorization of 40619 in exponential form is:

40619 = 1511 × 2691

Prime Factorization of 40630

Prime factors of 40630 are 2, 5, 17, 239. Prime factorization of 40630 in exponential form is:

40630 = 21 × 51 × 171 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 40619 and 40630.

LCM(40619,40630) = 1511 × 2691 × 21 × 51 × 171 × 2391
LCM(40619,40630) = 1650349970