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What is the Least Common Multiple of 95911 and 95922?

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 95911 and 95922 is 9199974942.

LCM(95911,95922) = 9199974942

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Least Common Multiple of 95911 and 95922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95911 and 95922, than apply into the LCM equation.

GCF(95911,95922) = 1
LCM(95911,95922) = ( 95911 × 95922) / 1
LCM(95911,95922) = 9199974942 / 1
LCM(95911,95922) = 9199974942

Least Common Multiple (LCM) of 95911 and 95922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95911 and 95922. First we will calculate the prime factors of 95911 and 95922.

Prime Factorization of 95911

Prime factors of 95911 are 95911. Prime factorization of 95911 in exponential form is:

95911 = 959111

Prime Factorization of 95922

Prime factors of 95922 are 2, 3, 73. Prime factorization of 95922 in exponential form is:

95922 = 21 × 32 × 732

Now multiplying the highest exponent prime factors to calculate the LCM of 95911 and 95922.

LCM(95911,95922) = 959111 × 21 × 32 × 732
LCM(95911,95922) = 9199974942