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What is the Least Common Multiple of 81235 and 81251?

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 81235 and 81251 is 6600424985.

LCM(81235,81251) = 6600424985

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Least Common Multiple of 81235 and 81251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81235 and 81251, than apply into the LCM equation.

GCF(81235,81251) = 1
LCM(81235,81251) = ( 81235 × 81251) / 1
LCM(81235,81251) = 6600424985 / 1
LCM(81235,81251) = 6600424985

Least Common Multiple (LCM) of 81235 and 81251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81235 and 81251. First we will calculate the prime factors of 81235 and 81251.

Prime Factorization of 81235

Prime factors of 81235 are 5, 7, 11, 211. Prime factorization of 81235 in exponential form is:

81235 = 51 × 71 × 111 × 2111

Prime Factorization of 81251

Prime factors of 81251 are 31, 2621. Prime factorization of 81251 in exponential form is:

81251 = 311 × 26211

Now multiplying the highest exponent prime factors to calculate the LCM of 81235 and 81251.

LCM(81235,81251) = 51 × 71 × 111 × 2111 × 311 × 26211
LCM(81235,81251) = 6600424985