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What is the Least Common Multiple of 77258 and 77269?

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 77258 and 77269 is 5969648402.

LCM(77258,77269) = 5969648402

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Least Common Multiple of 77258 and 77269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77258 and 77269, than apply into the LCM equation.

GCF(77258,77269) = 1
LCM(77258,77269) = ( 77258 × 77269) / 1
LCM(77258,77269) = 5969648402 / 1
LCM(77258,77269) = 5969648402

Least Common Multiple (LCM) of 77258 and 77269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77258 and 77269. First we will calculate the prime factors of 77258 and 77269.

Prime Factorization of 77258

Prime factors of 77258 are 2, 38629. Prime factorization of 77258 in exponential form is:

77258 = 21 × 386291

Prime Factorization of 77269

Prime factors of 77269 are 77269. Prime factorization of 77269 in exponential form is:

77269 = 772691

Now multiplying the highest exponent prime factors to calculate the LCM of 77258 and 77269.

LCM(77258,77269) = 21 × 386291 × 772691
LCM(77258,77269) = 5969648402