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What is the Least Common Multiple of 91300 and 91305?

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 91300 and 91305 is 1667229300.

LCM(91300,91305) = 1667229300

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Least Common Multiple of 91300 and 91305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91300 and 91305, than apply into the LCM equation.

GCF(91300,91305) = 5
LCM(91300,91305) = ( 91300 × 91305) / 5
LCM(91300,91305) = 8336146500 / 5
LCM(91300,91305) = 1667229300

Least Common Multiple (LCM) of 91300 and 91305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91300 and 91305. First we will calculate the prime factors of 91300 and 91305.

Prime Factorization of 91300

Prime factors of 91300 are 2, 5, 11, 83. Prime factorization of 91300 in exponential form is:

91300 = 22 × 52 × 111 × 831

Prime Factorization of 91305

Prime factors of 91305 are 3, 5, 2029. Prime factorization of 91305 in exponential form is:

91305 = 32 × 51 × 20291

Now multiplying the highest exponent prime factors to calculate the LCM of 91300 and 91305.

LCM(91300,91305) = 22 × 52 × 111 × 831 × 32 × 20291
LCM(91300,91305) = 1667229300