What is the Least Common Multiple of 95676 and 95696?
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 95676 and 95696 is 2288952624.
LCM(95676,95696) = 2288952624
Least Common Multiple of 95676 and 95696 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95676 and 95696, than apply into the LCM equation.
GCF(95676,95696) = 4
LCM(95676,95696) = ( 95676 × 95696) / 4
LCM(95676,95696) = 9155810496 / 4
LCM(95676,95696) = 2288952624
Least Common Multiple (LCM) of 95676 and 95696 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95676 and 95696. First we will calculate the prime factors of 95676 and 95696.
Prime Factorization of 95676
Prime factors of 95676 are 2, 3, 7, 17, 67. Prime factorization of 95676 in exponential form is:
95676 = 22 × 31 × 71 × 171 × 671
Prime Factorization of 95696
Prime factors of 95696 are 2, 5981. Prime factorization of 95696 in exponential form is:
95696 = 24 × 59811
Now multiplying the highest exponent prime factors to calculate the LCM of 95676 and 95696.
LCM(95676,95696) = 24 × 31 × 71 × 171 × 671 × 59811
LCM(95676,95696) = 2288952624
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