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What is the Least Common Multiple of 32370 and 32387?

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 32370 and 32387 is 1048367190.

LCM(32370,32387) = 1048367190

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Least Common Multiple of 32370 and 32387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32370 and 32387, than apply into the LCM equation.

GCF(32370,32387) = 1
LCM(32370,32387) = ( 32370 × 32387) / 1
LCM(32370,32387) = 1048367190 / 1
LCM(32370,32387) = 1048367190

Least Common Multiple (LCM) of 32370 and 32387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32370 and 32387. First we will calculate the prime factors of 32370 and 32387.

Prime Factorization of 32370

Prime factors of 32370 are 2, 3, 5, 13, 83. Prime factorization of 32370 in exponential form is:

32370 = 21 × 31 × 51 × 131 × 831

Prime Factorization of 32387

Prime factors of 32387 are 139, 233. Prime factorization of 32387 in exponential form is:

32387 = 1391 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 32370 and 32387.

LCM(32370,32387) = 21 × 31 × 51 × 131 × 831 × 1391 × 2331
LCM(32370,32387) = 1048367190