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What is the Least Common Multiple of 62213 and 62230?

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 62213 and 62230 is 3871514990.

LCM(62213,62230) = 3871514990

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Least Common Multiple of 62213 and 62230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62213 and 62230, than apply into the LCM equation.

GCF(62213,62230) = 1
LCM(62213,62230) = ( 62213 × 62230) / 1
LCM(62213,62230) = 3871514990 / 1
LCM(62213,62230) = 3871514990

Least Common Multiple (LCM) of 62213 and 62230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62213 and 62230. First we will calculate the prime factors of 62213 and 62230.

Prime Factorization of 62213

Prime factors of 62213 are 62213. Prime factorization of 62213 in exponential form is:

62213 = 622131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 62213 and 62230.

LCM(62213,62230) = 622131 × 21 × 51 × 72 × 1271
LCM(62213,62230) = 3871514990