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What is the Least Common Multiple of 8249 and 8265?

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 8249 and 8265 is 68177985.

LCM(8249,8265) = 68177985

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Least Common Multiple of 8249 and 8265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8249 and 8265, than apply into the LCM equation.

GCF(8249,8265) = 1
LCM(8249,8265) = ( 8249 × 8265) / 1
LCM(8249,8265) = 68177985 / 1
LCM(8249,8265) = 68177985

Least Common Multiple (LCM) of 8249 and 8265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8249 and 8265. First we will calculate the prime factors of 8249 and 8265.

Prime Factorization of 8249

Prime factors of 8249 are 73, 113. Prime factorization of 8249 in exponential form is:

8249 = 731 × 1131

Prime Factorization of 8265

Prime factors of 8265 are 3, 5, 19, 29. Prime factorization of 8265 in exponential form is:

8265 = 31 × 51 × 191 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 8249 and 8265.

LCM(8249,8265) = 731 × 1131 × 31 × 51 × 191 × 291
LCM(8249,8265) = 68177985