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What is the Least Common Multiple of 76603 and 76623?

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 76603 and 76623 is 5869551669.

LCM(76603,76623) = 5869551669

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Least Common Multiple of 76603 and 76623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76603 and 76623, than apply into the LCM equation.

GCF(76603,76623) = 1
LCM(76603,76623) = ( 76603 × 76623) / 1
LCM(76603,76623) = 5869551669 / 1
LCM(76603,76623) = 5869551669

Least Common Multiple (LCM) of 76603 and 76623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76603 and 76623. First we will calculate the prime factors of 76603 and 76623.

Prime Factorization of 76603

Prime factors of 76603 are 76603. Prime factorization of 76603 in exponential form is:

76603 = 766031

Prime Factorization of 76623

Prime factors of 76623 are 3, 25541. Prime factorization of 76623 in exponential form is:

76623 = 31 × 255411

Now multiplying the highest exponent prime factors to calculate the LCM of 76603 and 76623.

LCM(76603,76623) = 766031 × 31 × 255411
LCM(76603,76623) = 5869551669