What is the Least Common Multiple of 95639 and 95645?
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 95645 is 9147392155.
LCM(95639,95645) = 9147392155
Least Common Multiple of 95639 and 95645 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 95645, than apply into the LCM equation.
GCF(95639,95645) = 1
LCM(95639,95645) = ( 95639 × 95645) / 1
LCM(95639,95645) = 9147392155 / 1
LCM(95639,95645) = 9147392155
Least Common Multiple (LCM) of 95639 and 95645 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95639 and 95645. First we will calculate the prime factors of 95639 and 95645.
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 95645
Prime factors of 95645 are 5, 11, 37, 47. Prime factorization of 95645 in exponential form is:
95645 = 51 × 111 × 371 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 95639 and 95645.
LCM(95639,95645) = 591 × 16211 × 51 × 111 × 371 × 471
LCM(95639,95645) = 9147392155
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