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What is the Least Common Multiple of 77603 and 77613?

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 77613 is 6023001639.

LCM(77603,77613) = 6023001639

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Least Common Multiple of 77603 and 77613 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 77613, than apply into the LCM equation.

GCF(77603,77613) = 1
LCM(77603,77613) = ( 77603 × 77613) / 1
LCM(77603,77613) = 6023001639 / 1
LCM(77603,77613) = 6023001639

Least Common Multiple (LCM) of 77603 and 77613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77603 and 77613. First we will calculate the prime factors of 77603 and 77613.

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 77613

Prime factors of 77613 are 3, 41, 631. Prime factorization of 77613 in exponential form is:

77613 = 31 × 411 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 77603 and 77613.

LCM(77603,77613) = 711 × 10931 × 31 × 411 × 6311
LCM(77603,77613) = 6023001639