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What is the Least Common Multiple of 32615 and 32622?

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 32615 and 32622 is 1063966530.

LCM(32615,32622) = 1063966530

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Least Common Multiple of 32615 and 32622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32615 and 32622, than apply into the LCM equation.

GCF(32615,32622) = 1
LCM(32615,32622) = ( 32615 × 32622) / 1
LCM(32615,32622) = 1063966530 / 1
LCM(32615,32622) = 1063966530

Least Common Multiple (LCM) of 32615 and 32622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32615 and 32622. First we will calculate the prime factors of 32615 and 32622.

Prime Factorization of 32615

Prime factors of 32615 are 5, 11, 593. Prime factorization of 32615 in exponential form is:

32615 = 51 × 111 × 5931

Prime Factorization of 32622

Prime factors of 32622 are 2, 3, 5437. Prime factorization of 32622 in exponential form is:

32622 = 21 × 31 × 54371

Now multiplying the highest exponent prime factors to calculate the LCM of 32615 and 32622.

LCM(32615,32622) = 51 × 111 × 5931 × 21 × 31 × 54371
LCM(32615,32622) = 1063966530