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What is the Least Common Multiple of 95821 and 95836?

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 95821 and 95836 is 9183101356.

LCM(95821,95836) = 9183101356

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Least Common Multiple of 95821 and 95836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95821 and 95836, than apply into the LCM equation.

GCF(95821,95836) = 1
LCM(95821,95836) = ( 95821 × 95836) / 1
LCM(95821,95836) = 9183101356 / 1
LCM(95821,95836) = 9183101356

Least Common Multiple (LCM) of 95821 and 95836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95821 and 95836. First we will calculate the prime factors of 95821 and 95836.

Prime Factorization of 95821

Prime factors of 95821 are 11, 31, 281. Prime factorization of 95821 in exponential form is:

95821 = 111 × 311 × 2811

Prime Factorization of 95836

Prime factors of 95836 are 2, 13, 19, 97. Prime factorization of 95836 in exponential form is:

95836 = 22 × 131 × 191 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 95821 and 95836.

LCM(95821,95836) = 111 × 311 × 2811 × 22 × 131 × 191 × 971
LCM(95821,95836) = 9183101356