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What is the Least Common Multiple of 83611 and 83620?

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 83611 and 83620 is 6991551820.

LCM(83611,83620) = 6991551820

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Least Common Multiple of 83611 and 83620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83611 and 83620, than apply into the LCM equation.

GCF(83611,83620) = 1
LCM(83611,83620) = ( 83611 × 83620) / 1
LCM(83611,83620) = 6991551820 / 1
LCM(83611,83620) = 6991551820

Least Common Multiple (LCM) of 83611 and 83620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83611 and 83620. First we will calculate the prime factors of 83611 and 83620.

Prime Factorization of 83611

Prime factors of 83611 are 11, 691. Prime factorization of 83611 in exponential form is:

83611 = 112 × 6911

Prime Factorization of 83620

Prime factors of 83620 are 2, 5, 37, 113. Prime factorization of 83620 in exponential form is:

83620 = 22 × 51 × 371 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 83611 and 83620.

LCM(83611,83620) = 112 × 6911 × 22 × 51 × 371 × 1131
LCM(83611,83620) = 6991551820