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What is the Least Common Multiple of 62241 and 62246?

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 62241 and 62246 is 3874253286.

LCM(62241,62246) = 3874253286

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Least Common Multiple of 62241 and 62246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62241 and 62246, than apply into the LCM equation.

GCF(62241,62246) = 1
LCM(62241,62246) = ( 62241 × 62246) / 1
LCM(62241,62246) = 3874253286 / 1
LCM(62241,62246) = 3874253286

Least Common Multiple (LCM) of 62241 and 62246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62241 and 62246. First we will calculate the prime factors of 62241 and 62246.

Prime Factorization of 62241

Prime factors of 62241 are 3, 20747. Prime factorization of 62241 in exponential form is:

62241 = 31 × 207471

Prime Factorization of 62246

Prime factors of 62246 are 2, 31123. Prime factorization of 62246 in exponential form is:

62246 = 21 × 311231

Now multiplying the highest exponent prime factors to calculate the LCM of 62241 and 62246.

LCM(62241,62246) = 31 × 207471 × 21 × 311231
LCM(62241,62246) = 3874253286