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What is the Least Common Multiple of 86137 and 86153?

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 86137 and 86153 is 7420960961.

LCM(86137,86153) = 7420960961

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Least Common Multiple of 86137 and 86153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86137 and 86153, than apply into the LCM equation.

GCF(86137,86153) = 1
LCM(86137,86153) = ( 86137 × 86153) / 1
LCM(86137,86153) = 7420960961 / 1
LCM(86137,86153) = 7420960961

Least Common Multiple (LCM) of 86137 and 86153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86137 and 86153. First we will calculate the prime factors of 86137 and 86153.

Prime Factorization of 86137

Prime factors of 86137 are 86137. Prime factorization of 86137 in exponential form is:

86137 = 861371

Prime Factorization of 86153

Prime factors of 86153 are 101, 853. Prime factorization of 86153 in exponential form is:

86153 = 1011 × 8531

Now multiplying the highest exponent prime factors to calculate the LCM of 86137 and 86153.

LCM(86137,86153) = 861371 × 1011 × 8531
LCM(86137,86153) = 7420960961