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What is the Least Common Multiple of 62248 and 62263?

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 62248 and 62263 is 3875747224.

LCM(62248,62263) = 3875747224

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Least Common Multiple of 62248 and 62263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62248 and 62263, than apply into the LCM equation.

GCF(62248,62263) = 1
LCM(62248,62263) = ( 62248 × 62263) / 1
LCM(62248,62263) = 3875747224 / 1
LCM(62248,62263) = 3875747224

Least Common Multiple (LCM) of 62248 and 62263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62248 and 62263. First we will calculate the prime factors of 62248 and 62263.

Prime Factorization of 62248

Prime factors of 62248 are 2, 31, 251. Prime factorization of 62248 in exponential form is:

62248 = 23 × 311 × 2511

Prime Factorization of 62263

Prime factors of 62263 are 19, 29, 113. Prime factorization of 62263 in exponential form is:

62263 = 191 × 291 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 62248 and 62263.

LCM(62248,62263) = 23 × 311 × 2511 × 191 × 291 × 1131
LCM(62248,62263) = 3875747224