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What is the Least Common Multiple of 91940 and 91959?

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 91940 and 91959 is 8454710460.

LCM(91940,91959) = 8454710460

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Least Common Multiple of 91940 and 91959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91940 and 91959, than apply into the LCM equation.

GCF(91940,91959) = 1
LCM(91940,91959) = ( 91940 × 91959) / 1
LCM(91940,91959) = 8454710460 / 1
LCM(91940,91959) = 8454710460

Least Common Multiple (LCM) of 91940 and 91959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91940 and 91959. First we will calculate the prime factors of 91940 and 91959.

Prime Factorization of 91940

Prime factors of 91940 are 2, 5, 4597. Prime factorization of 91940 in exponential form is:

91940 = 22 × 51 × 45971

Prime Factorization of 91959

Prime factors of 91959 are 3, 7, 29, 151. Prime factorization of 91959 in exponential form is:

91959 = 31 × 71 × 291 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 91940 and 91959.

LCM(91940,91959) = 22 × 51 × 45971 × 31 × 71 × 291 × 1511
LCM(91940,91959) = 8454710460