What is the Least Common Multiple of 99756 and 99765?
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 99756 and 99765 is 1105795260.
LCM(99756,99765) = 1105795260
Least Common Multiple of 99756 and 99765 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99756 and 99765, than apply into the LCM equation.
GCF(99756,99765) = 9
LCM(99756,99765) = ( 99756 × 99765) / 9
LCM(99756,99765) = 9952157340 / 9
LCM(99756,99765) = 1105795260
Least Common Multiple (LCM) of 99756 and 99765 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99756 and 99765. First we will calculate the prime factors of 99756 and 99765.
Prime Factorization of 99756
Prime factors of 99756 are 2, 3, 17, 163. Prime factorization of 99756 in exponential form is:
99756 = 22 × 32 × 171 × 1631
Prime Factorization of 99765
Prime factors of 99765 are 3, 5, 739. Prime factorization of 99765 in exponential form is:
99765 = 33 × 51 × 7391
Now multiplying the highest exponent prime factors to calculate the LCM of 99756 and 99765.
LCM(99756,99765) = 22 × 33 × 171 × 1631 × 51 × 7391
LCM(99756,99765) = 1105795260
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