What is the Least Common Multiple of 95718 and 95737?
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 95718 and 95737 is 9163754166.
LCM(95718,95737) = 9163754166
Least Common Multiple of 95718 and 95737 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95718 and 95737, than apply into the LCM equation.
GCF(95718,95737) = 1
LCM(95718,95737) = ( 95718 × 95737) / 1
LCM(95718,95737) = 9163754166 / 1
LCM(95718,95737) = 9163754166
Least Common Multiple (LCM) of 95718 and 95737 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95718 and 95737. First we will calculate the prime factors of 95718 and 95737.
Prime Factorization of 95718
Prime factors of 95718 are 2, 3, 7, 43, 53. Prime factorization of 95718 in exponential form is:
95718 = 21 × 31 × 71 × 431 × 531
Prime Factorization of 95737
Prime factors of 95737 are 95737. Prime factorization of 95737 in exponential form is:
95737 = 957371
Now multiplying the highest exponent prime factors to calculate the LCM of 95718 and 95737.
LCM(95718,95737) = 21 × 31 × 71 × 431 × 531 × 957371
LCM(95718,95737) = 9163754166
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