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What is the Least Common Multiple of 80537 and 80554?

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 80537 and 80554 is 6487577498.

LCM(80537,80554) = 6487577498

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Least Common Multiple of 80537 and 80554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80537 and 80554, than apply into the LCM equation.

GCF(80537,80554) = 1
LCM(80537,80554) = ( 80537 × 80554) / 1
LCM(80537,80554) = 6487577498 / 1
LCM(80537,80554) = 6487577498

Least Common Multiple (LCM) of 80537 and 80554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80537 and 80554. First we will calculate the prime factors of 80537 and 80554.

Prime Factorization of 80537

Prime factors of 80537 are 80537. Prime factorization of 80537 in exponential form is:

80537 = 805371

Prime Factorization of 80554

Prime factors of 80554 are 2, 40277. Prime factorization of 80554 in exponential form is:

80554 = 21 × 402771

Now multiplying the highest exponent prime factors to calculate the LCM of 80537 and 80554.

LCM(80537,80554) = 805371 × 21 × 402771
LCM(80537,80554) = 6487577498