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What is the Least Common Multiple of 62230 and 62247?

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 62230 and 62247 is 3873630810.

LCM(62230,62247) = 3873630810

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Least Common Multiple of 62230 and 62247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62230 and 62247, than apply into the LCM equation.

GCF(62230,62247) = 1
LCM(62230,62247) = ( 62230 × 62247) / 1
LCM(62230,62247) = 3873630810 / 1
LCM(62230,62247) = 3873630810

Least Common Multiple (LCM) of 62230 and 62247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62230 and 62247. First we will calculate the prime factors of 62230 and 62247.

Prime Factorization of 62230

Prime factors of 62230 are 2, 5, 7, 127. Prime factorization of 62230 in exponential form is:

62230 = 21 × 51 × 72 × 1271

Prime Factorization of 62247

Prime factors of 62247 are 3, 20749. Prime factorization of 62247 in exponential form is:

62247 = 31 × 207491

Now multiplying the highest exponent prime factors to calculate the LCM of 62230 and 62247.

LCM(62230,62247) = 21 × 51 × 72 × 1271 × 31 × 207491
LCM(62230,62247) = 3873630810