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What is the Least Common Multiple of 95822 and 95832?

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 95822 and 95832 is 4591406952.

LCM(95822,95832) = 4591406952

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Least Common Multiple of 95822 and 95832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95822 and 95832, than apply into the LCM equation.

GCF(95822,95832) = 2
LCM(95822,95832) = ( 95822 × 95832) / 2
LCM(95822,95832) = 9182813904 / 2
LCM(95822,95832) = 4591406952

Least Common Multiple (LCM) of 95822 and 95832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95822 and 95832. First we will calculate the prime factors of 95822 and 95832.

Prime Factorization of 95822

Prime factors of 95822 are 2, 47911. Prime factorization of 95822 in exponential form is:

95822 = 21 × 479111

Prime Factorization of 95832

Prime factors of 95832 are 2, 3, 11. Prime factorization of 95832 in exponential form is:

95832 = 23 × 32 × 113

Now multiplying the highest exponent prime factors to calculate the LCM of 95822 and 95832.

LCM(95822,95832) = 23 × 479111 × 32 × 113
LCM(95822,95832) = 4591406952