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What is the Least Common Multiple of 76622 and 76633?

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 76622 and 76633 is 5871773726.

LCM(76622,76633) = 5871773726

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Least Common Multiple of 76622 and 76633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76622 and 76633, than apply into the LCM equation.

GCF(76622,76633) = 1
LCM(76622,76633) = ( 76622 × 76633) / 1
LCM(76622,76633) = 5871773726 / 1
LCM(76622,76633) = 5871773726

Least Common Multiple (LCM) of 76622 and 76633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76622 and 76633. First we will calculate the prime factors of 76622 and 76633.

Prime Factorization of 76622

Prime factors of 76622 are 2, 7, 13, 421. Prime factorization of 76622 in exponential form is:

76622 = 21 × 71 × 131 × 4211

Prime Factorization of 76633

Prime factors of 76633 are 197, 389. Prime factorization of 76633 in exponential form is:

76633 = 1971 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 76622 and 76633.

LCM(76622,76633) = 21 × 71 × 131 × 4211 × 1971 × 3891
LCM(76622,76633) = 5871773726