What is the Least Common Multiple of 95601 and 95606?
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 95601 and 95606 is 9140029206.
LCM(95601,95606) = 9140029206
Least Common Multiple of 95601 and 95606 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95601 and 95606, than apply into the LCM equation.
GCF(95601,95606) = 1
LCM(95601,95606) = ( 95601 × 95606) / 1
LCM(95601,95606) = 9140029206 / 1
LCM(95601,95606) = 9140029206
Least Common Multiple (LCM) of 95601 and 95606 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95601 and 95606. First we will calculate the prime factors of 95601 and 95606.
Prime Factorization of 95601
Prime factors of 95601 are 3, 11, 2897. Prime factorization of 95601 in exponential form is:
95601 = 31 × 111 × 28971
Prime Factorization of 95606
Prime factors of 95606 are 2, 7, 6829. Prime factorization of 95606 in exponential form is:
95606 = 21 × 71 × 68291
Now multiplying the highest exponent prime factors to calculate the LCM of 95601 and 95606.
LCM(95601,95606) = 31 × 111 × 28971 × 21 × 71 × 68291
LCM(95601,95606) = 9140029206
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