What is the Least Common Multiple of 91800 and 91812?
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 91800 and 91812 is 702361800.
LCM(91800,91812) = 702361800
Least Common Multiple of 91800 and 91812 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91800 and 91812, than apply into the LCM equation.
GCF(91800,91812) = 12
LCM(91800,91812) = ( 91800 × 91812) / 12
LCM(91800,91812) = 8428341600 / 12
LCM(91800,91812) = 702361800
Least Common Multiple (LCM) of 91800 and 91812 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91800 and 91812. First we will calculate the prime factors of 91800 and 91812.
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
Prime Factorization of 91812
Prime factors of 91812 are 2, 3, 7, 1093. Prime factorization of 91812 in exponential form is:
91812 = 22 × 31 × 71 × 10931
Now multiplying the highest exponent prime factors to calculate the LCM of 91800 and 91812.
LCM(91800,91812) = 23 × 33 × 52 × 171 × 71 × 10931
LCM(91800,91812) = 702361800
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