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What is the Least Common Multiple of 40615 and 40622?

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 40615 and 40622 is 1649862530.

LCM(40615,40622) = 1649862530

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Least Common Multiple of 40615 and 40622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40615 and 40622, than apply into the LCM equation.

GCF(40615,40622) = 1
LCM(40615,40622) = ( 40615 × 40622) / 1
LCM(40615,40622) = 1649862530 / 1
LCM(40615,40622) = 1649862530

Least Common Multiple (LCM) of 40615 and 40622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40615 and 40622. First we will calculate the prime factors of 40615 and 40622.

Prime Factorization of 40615

Prime factors of 40615 are 5, 8123. Prime factorization of 40615 in exponential form is:

40615 = 51 × 81231

Prime Factorization of 40622

Prime factors of 40622 are 2, 19, 1069. Prime factorization of 40622 in exponential form is:

40622 = 21 × 191 × 10691

Now multiplying the highest exponent prime factors to calculate the LCM of 40615 and 40622.

LCM(40615,40622) = 51 × 81231 × 21 × 191 × 10691
LCM(40615,40622) = 1649862530