What is the Least Common Multiple of 95661 and 95667?
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 95661 and 95667 is 3050533629.
LCM(95661,95667) = 3050533629
Least Common Multiple of 95661 and 95667 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95661 and 95667, than apply into the LCM equation.
GCF(95661,95667) = 3
LCM(95661,95667) = ( 95661 × 95667) / 3
LCM(95661,95667) = 9151600887 / 3
LCM(95661,95667) = 3050533629
Least Common Multiple (LCM) of 95661 and 95667 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95661 and 95667. First we will calculate the prime factors of 95661 and 95667.
Prime Factorization of 95661
Prime factors of 95661 are 3, 1181. Prime factorization of 95661 in exponential form is:
95661 = 34 × 11811
Prime Factorization of 95667
Prime factors of 95667 are 3, 11, 13, 223. Prime factorization of 95667 in exponential form is:
95667 = 31 × 111 × 131 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 95661 and 95667.
LCM(95661,95667) = 34 × 11811 × 111 × 131 × 2231
LCM(95661,95667) = 3050533629
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