What is the Least Common Multiple of 95811 and 95816?
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 95811 and 95816 is 9180226776.
LCM(95811,95816) = 9180226776
Least Common Multiple of 95811 and 95816 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95811 and 95816, than apply into the LCM equation.
GCF(95811,95816) = 1
LCM(95811,95816) = ( 95811 × 95816) / 1
LCM(95811,95816) = 9180226776 / 1
LCM(95811,95816) = 9180226776
Least Common Multiple (LCM) of 95811 and 95816 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95811 and 95816. First we will calculate the prime factors of 95811 and 95816.
Prime Factorization of 95811
Prime factors of 95811 are 3, 109, 293. Prime factorization of 95811 in exponential form is:
95811 = 31 × 1091 × 2931
Prime Factorization of 95816
Prime factors of 95816 are 2, 7, 29, 59. Prime factorization of 95816 in exponential form is:
95816 = 23 × 71 × 291 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 95811 and 95816.
LCM(95811,95816) = 31 × 1091 × 2931 × 23 × 71 × 291 × 591
LCM(95811,95816) = 9180226776
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