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What is the Least Common Multiple of 77603 and 77615?

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 77603 and 77615 is 6023156845.

LCM(77603,77615) = 6023156845

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Least Common Multiple of 77603 and 77615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77603 and 77615, than apply into the LCM equation.

GCF(77603,77615) = 1
LCM(77603,77615) = ( 77603 × 77615) / 1
LCM(77603,77615) = 6023156845 / 1
LCM(77603,77615) = 6023156845

Least Common Multiple (LCM) of 77603 and 77615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77603 and 77615. First we will calculate the prime factors of 77603 and 77615.

Prime Factorization of 77603

Prime factors of 77603 are 71, 1093. Prime factorization of 77603 in exponential form is:

77603 = 711 × 10931

Prime Factorization of 77615

Prime factors of 77615 are 5, 19, 43. Prime factorization of 77615 in exponential form is:

77615 = 51 × 192 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 77603 and 77615.

LCM(77603,77615) = 711 × 10931 × 51 × 192 × 431
LCM(77603,77615) = 6023156845