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What is the Least Common Multiple of 86620 and 86629?

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 86620 and 86629 is 7503803980.

LCM(86620,86629) = 7503803980

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Least Common Multiple of 86620 and 86629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86620 and 86629, than apply into the LCM equation.

GCF(86620,86629) = 1
LCM(86620,86629) = ( 86620 × 86629) / 1
LCM(86620,86629) = 7503803980 / 1
LCM(86620,86629) = 7503803980

Least Common Multiple (LCM) of 86620 and 86629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86620 and 86629. First we will calculate the prime factors of 86620 and 86629.

Prime Factorization of 86620

Prime factors of 86620 are 2, 5, 61, 71. Prime factorization of 86620 in exponential form is:

86620 = 22 × 51 × 611 × 711

Prime Factorization of 86629

Prime factors of 86629 are 86629. Prime factorization of 86629 in exponential form is:

86629 = 866291

Now multiplying the highest exponent prime factors to calculate the LCM of 86620 and 86629.

LCM(86620,86629) = 22 × 51 × 611 × 711 × 866291
LCM(86620,86629) = 7503803980