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What is the Least Common Multiple of 76186 and 76203?

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 76186 and 76203 is 5805601758.

LCM(76186,76203) = 5805601758

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Least Common Multiple of 76186 and 76203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76186 and 76203, than apply into the LCM equation.

GCF(76186,76203) = 1
LCM(76186,76203) = ( 76186 × 76203) / 1
LCM(76186,76203) = 5805601758 / 1
LCM(76186,76203) = 5805601758

Least Common Multiple (LCM) of 76186 and 76203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76186 and 76203. First we will calculate the prime factors of 76186 and 76203.

Prime Factorization of 76186

Prime factors of 76186 are 2, 11, 3463. Prime factorization of 76186 in exponential form is:

76186 = 21 × 111 × 34631

Prime Factorization of 76203

Prime factors of 76203 are 3, 8467. Prime factorization of 76203 in exponential form is:

76203 = 32 × 84671

Now multiplying the highest exponent prime factors to calculate the LCM of 76186 and 76203.

LCM(76186,76203) = 21 × 111 × 34631 × 32 × 84671
LCM(76186,76203) = 5805601758