What is the Least Common Multiple of 95661 and 95668?
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 95668 is 9151696548.
LCM(95661,95668) = 9151696548
Least Common Multiple of 95661 and 95668 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 95668, than apply into the LCM equation.
GCF(95661,95668) = 1
LCM(95661,95668) = ( 95661 × 95668) / 1
LCM(95661,95668) = 9151696548 / 1
LCM(95661,95668) = 9151696548
Least Common Multiple (LCM) of 95661 and 95668 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95661 and 95668. First we will calculate the prime factors of 95661 and 95668.
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 95668
Prime factors of 95668 are 2, 23917. Prime factorization of 95668 in exponential form is:
95668 = 22 × 239171
Now multiplying the highest exponent prime factors to calculate the LCM of 95661 and 95668.
LCM(95661,95668) = 34 × 11811 × 22 × 239171
LCM(95661,95668) = 9151696548
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