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What is the Least Common Multiple of 95913 and 95930?

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 95913 and 95930 is 9200934090.

LCM(95913,95930) = 9200934090

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Least Common Multiple of 95913 and 95930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95913 and 95930, than apply into the LCM equation.

GCF(95913,95930) = 1
LCM(95913,95930) = ( 95913 × 95930) / 1
LCM(95913,95930) = 9200934090 / 1
LCM(95913,95930) = 9200934090

Least Common Multiple (LCM) of 95913 and 95930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95913 and 95930. First we will calculate the prime factors of 95913 and 95930.

Prime Factorization of 95913

Prime factors of 95913 are 3, 10657. Prime factorization of 95913 in exponential form is:

95913 = 32 × 106571

Prime Factorization of 95930

Prime factors of 95930 are 2, 5, 53, 181. Prime factorization of 95930 in exponential form is:

95930 = 21 × 51 × 531 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 95913 and 95930.

LCM(95913,95930) = 32 × 106571 × 21 × 51 × 531 × 1811
LCM(95913,95930) = 9200934090