What is the Least Common Multiple of 95699 and 95710?
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 95699 and 95710 is 9159351290.
LCM(95699,95710) = 9159351290
Least Common Multiple of 95699 and 95710 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95699 and 95710, than apply into the LCM equation.
GCF(95699,95710) = 1
LCM(95699,95710) = ( 95699 × 95710) / 1
LCM(95699,95710) = 9159351290 / 1
LCM(95699,95710) = 9159351290
Least Common Multiple (LCM) of 95699 and 95710 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95699 and 95710. First we will calculate the prime factors of 95699 and 95710.
Prime Factorization of 95699
Prime factors of 95699 are 83, 1153. Prime factorization of 95699 in exponential form is:
95699 = 831 × 11531
Prime Factorization of 95710
Prime factors of 95710 are 2, 5, 17, 563. Prime factorization of 95710 in exponential form is:
95710 = 21 × 51 × 171 × 5631
Now multiplying the highest exponent prime factors to calculate the LCM of 95699 and 95710.
LCM(95699,95710) = 831 × 11531 × 21 × 51 × 171 × 5631
LCM(95699,95710) = 9159351290
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