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What is the Least Common Multiple of 91803 and 91818?

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 91803 and 91818 is 2809722618.

LCM(91803,91818) = 2809722618

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Least Common Multiple of 91803 and 91818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91803 and 91818, than apply into the LCM equation.

GCF(91803,91818) = 3
LCM(91803,91818) = ( 91803 × 91818) / 3
LCM(91803,91818) = 8429167854 / 3
LCM(91803,91818) = 2809722618

Least Common Multiple (LCM) of 91803 and 91818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91803 and 91818. First we will calculate the prime factors of 91803 and 91818.

Prime Factorization of 91803

Prime factors of 91803 are 3, 71, 431. Prime factorization of 91803 in exponential form is:

91803 = 31 × 711 × 4311

Prime Factorization of 91818

Prime factors of 91818 are 2, 3, 5101. Prime factorization of 91818 in exponential form is:

91818 = 21 × 32 × 51011

Now multiplying the highest exponent prime factors to calculate the LCM of 91803 and 91818.

LCM(91803,91818) = 32 × 711 × 4311 × 21 × 51011
LCM(91803,91818) = 2809722618