What is the Least Common Multiple of 95707 and 95718?
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 95707 and 95718 is 9160882626.
LCM(95707,95718) = 9160882626
Least Common Multiple of 95707 and 95718 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95707 and 95718, than apply into the LCM equation.
GCF(95707,95718) = 1
LCM(95707,95718) = ( 95707 × 95718) / 1
LCM(95707,95718) = 9160882626 / 1
LCM(95707,95718) = 9160882626
Least Common Multiple (LCM) of 95707 and 95718 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95707 and 95718. First we will calculate the prime factors of 95707 and 95718.
Prime Factorization of 95707
Prime factors of 95707 are 95707. Prime factorization of 95707 in exponential form is:
95707 = 957071
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
Now multiplying the highest exponent prime factors to calculate the LCM of 95707 and 95718.
LCM(95707,95718) = 957071 × 21 × 31 × 71 × 431 × 531
LCM(95707,95718) = 9160882626
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