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What is the Least Common Multiple of 53597 and 53615?

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 53597 and 53615 is 2873603155.

LCM(53597,53615) = 2873603155

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Least Common Multiple of 53597 and 53615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53597 and 53615, than apply into the LCM equation.

GCF(53597,53615) = 1
LCM(53597,53615) = ( 53597 × 53615) / 1
LCM(53597,53615) = 2873603155 / 1
LCM(53597,53615) = 2873603155

Least Common Multiple (LCM) of 53597 and 53615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53597 and 53615. First we will calculate the prime factors of 53597 and 53615.

Prime Factorization of 53597

Prime factors of 53597 are 53597. Prime factorization of 53597 in exponential form is:

53597 = 535971

Prime Factorization of 53615

Prime factors of 53615 are 5, 10723. Prime factorization of 53615 in exponential form is:

53615 = 51 × 107231

Now multiplying the highest exponent prime factors to calculate the LCM of 53597 and 53615.

LCM(53597,53615) = 535971 × 51 × 107231
LCM(53597,53615) = 2873603155