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What is the Least Common Multiple of 69597 and 69615?

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 69597 and 69615 is 538332795.

LCM(69597,69615) = 538332795

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Least Common Multiple of 69597 and 69615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69597 and 69615, than apply into the LCM equation.

GCF(69597,69615) = 9
LCM(69597,69615) = ( 69597 × 69615) / 9
LCM(69597,69615) = 4844995155 / 9
LCM(69597,69615) = 538332795

Least Common Multiple (LCM) of 69597 and 69615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69597 and 69615. First we will calculate the prime factors of 69597 and 69615.

Prime Factorization of 69597

Prime factors of 69597 are 3, 11, 19, 37. Prime factorization of 69597 in exponential form is:

69597 = 32 × 111 × 191 × 371

Prime Factorization of 69615

Prime factors of 69615 are 3, 5, 7, 13, 17. Prime factorization of 69615 in exponential form is:

69615 = 32 × 51 × 71 × 131 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 69597 and 69615.

LCM(69597,69615) = 32 × 111 × 191 × 371 × 51 × 71 × 131 × 171
LCM(69597,69615) = 538332795

Related Least Common Multiples of 69597

Related Least Common Multiples of 69615