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What is the Least Common Multiple of 91790 and 91800?

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 91790 and 91800 is 842632200.

LCM(91790,91800) = 842632200

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Least Common Multiple of 91790 and 91800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91790 and 91800, than apply into the LCM equation.

GCF(91790,91800) = 10
LCM(91790,91800) = ( 91790 × 91800) / 10
LCM(91790,91800) = 8426322000 / 10
LCM(91790,91800) = 842632200

Least Common Multiple (LCM) of 91790 and 91800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91790 and 91800. First we will calculate the prime factors of 91790 and 91800.

Prime Factorization of 91790

Prime factors of 91790 are 2, 5, 67, 137. Prime factorization of 91790 in exponential form is:

91790 = 21 × 51 × 671 × 1371

Prime Factorization of 91800

Prime factors of 91800 are 2, 3, 5, 17. Prime factorization of 91800 in exponential form is:

91800 = 23 × 33 × 52 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 91790 and 91800.

LCM(91790,91800) = 23 × 52 × 671 × 1371 × 33 × 171
LCM(91790,91800) = 842632200