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What is the Least Common Multiple of 76619 and 76637?

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 76619 and 76637 is 5871850303.

LCM(76619,76637) = 5871850303

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Least Common Multiple of 76619 and 76637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76619 and 76637, than apply into the LCM equation.

GCF(76619,76637) = 1
LCM(76619,76637) = ( 76619 × 76637) / 1
LCM(76619,76637) = 5871850303 / 1
LCM(76619,76637) = 5871850303

Least Common Multiple (LCM) of 76619 and 76637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76619 and 76637. First we will calculate the prime factors of 76619 and 76637.

Prime Factorization of 76619

Prime factors of 76619 are 17, 4507. Prime factorization of 76619 in exponential form is:

76619 = 171 × 45071

Prime Factorization of 76637

Prime factors of 76637 are 11, 6967. Prime factorization of 76637 in exponential form is:

76637 = 111 × 69671

Now multiplying the highest exponent prime factors to calculate the LCM of 76619 and 76637.

LCM(76619,76637) = 171 × 45071 × 111 × 69671
LCM(76619,76637) = 5871850303