What is the Least Common Multiple of 95636 and 95643?
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 95636 and 95643 is 9146913948.
LCM(95636,95643) = 9146913948
Least Common Multiple of 95636 and 95643 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95636 and 95643, than apply into the LCM equation.
GCF(95636,95643) = 1
LCM(95636,95643) = ( 95636 × 95643) / 1
LCM(95636,95643) = 9146913948 / 1
LCM(95636,95643) = 9146913948
Least Common Multiple (LCM) of 95636 and 95643 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95636 and 95643. First we will calculate the prime factors of 95636 and 95643.
Prime Factorization of 95636
Prime factors of 95636 are 2, 23909. Prime factorization of 95636 in exponential form is:
95636 = 22 × 239091
Prime Factorization of 95643
Prime factors of 95643 are 3, 10627. Prime factorization of 95643 in exponential form is:
95643 = 32 × 106271
Now multiplying the highest exponent prime factors to calculate the LCM of 95636 and 95643.
LCM(95636,95643) = 22 × 239091 × 32 × 106271
LCM(95636,95643) = 9146913948
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