What is the Least Common Multiple of 95639 and 95654?
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 95639 and 95654 is 9148252906.
LCM(95639,95654) = 9148252906
Least Common Multiple of 95639 and 95654 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95639 and 95654, than apply into the LCM equation.
GCF(95639,95654) = 1
LCM(95639,95654) = ( 95639 × 95654) / 1
LCM(95639,95654) = 9148252906 / 1
LCM(95639,95654) = 9148252906
Least Common Multiple (LCM) of 95639 and 95654 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95639 and 95654. First we will calculate the prime factors of 95639 and 95654.
Prime Factorization of 95639
Prime factors of 95639 are 59, 1621. Prime factorization of 95639 in exponential form is:
95639 = 591 × 16211
Prime Factorization of 95654
Prime factors of 95654 are 2, 13, 283. Prime factorization of 95654 in exponential form is:
95654 = 21 × 132 × 2831
Now multiplying the highest exponent prime factors to calculate the LCM of 95639 and 95654.
LCM(95639,95654) = 591 × 16211 × 21 × 132 × 2831
LCM(95639,95654) = 9148252906
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