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What is the Least Common Multiple of 32386 and 32402?

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 32386 and 32402 is 524685586.

LCM(32386,32402) = 524685586

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Least Common Multiple of 32386 and 32402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32386 and 32402, than apply into the LCM equation.

GCF(32386,32402) = 2
LCM(32386,32402) = ( 32386 × 32402) / 2
LCM(32386,32402) = 1049371172 / 2
LCM(32386,32402) = 524685586

Least Common Multiple (LCM) of 32386 and 32402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32386 and 32402. First we will calculate the prime factors of 32386 and 32402.

Prime Factorization of 32386

Prime factors of 32386 are 2, 16193. Prime factorization of 32386 in exponential form is:

32386 = 21 × 161931

Prime Factorization of 32402

Prime factors of 32402 are 2, 17, 953. Prime factorization of 32402 in exponential form is:

32402 = 21 × 171 × 9531

Now multiplying the highest exponent prime factors to calculate the LCM of 32386 and 32402.

LCM(32386,32402) = 21 × 161931 × 171 × 9531
LCM(32386,32402) = 524685586