What is the Least Common Multiple of 95482 and 95489?
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 95482 and 95489 is 9117480698.
LCM(95482,95489) = 9117480698
Least Common Multiple of 95482 and 95489 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95482 and 95489, than apply into the LCM equation.
GCF(95482,95489) = 1
LCM(95482,95489) = ( 95482 × 95489) / 1
LCM(95482,95489) = 9117480698 / 1
LCM(95482,95489) = 9117480698
Least Common Multiple (LCM) of 95482 and 95489 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95482 and 95489. First we will calculate the prime factors of 95482 and 95489.
Prime Factorization of 95482
Prime factors of 95482 are 2, 47741. Prime factorization of 95482 in exponential form is:
95482 = 21 × 477411
Prime Factorization of 95489
Prime factors of 95489 are 17, 41, 137. Prime factorization of 95489 in exponential form is:
95489 = 171 × 411 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 95482 and 95489.
LCM(95482,95489) = 21 × 477411 × 171 × 411 × 1371
LCM(95482,95489) = 9117480698
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