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What is the Least Common Multiple of 91930 and 91950?

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 91930 and 91950 is 845296350.

LCM(91930,91950) = 845296350

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Least Common Multiple of 91930 and 91950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91930 and 91950, than apply into the LCM equation.

GCF(91930,91950) = 10
LCM(91930,91950) = ( 91930 × 91950) / 10
LCM(91930,91950) = 8452963500 / 10
LCM(91930,91950) = 845296350

Least Common Multiple (LCM) of 91930 and 91950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91930 and 91950. First we will calculate the prime factors of 91930 and 91950.

Prime Factorization of 91930

Prime factors of 91930 are 2, 5, 29, 317. Prime factorization of 91930 in exponential form is:

91930 = 21 × 51 × 291 × 3171

Prime Factorization of 91950

Prime factors of 91950 are 2, 3, 5, 613. Prime factorization of 91950 in exponential form is:

91950 = 21 × 31 × 52 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 91930 and 91950.

LCM(91930,91950) = 21 × 52 × 291 × 3171 × 31 × 6131
LCM(91930,91950) = 845296350