What is the Least Common Multiple of 95674 and 95681?
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 95674 and 95681 is 9154183994.
LCM(95674,95681) = 9154183994
Least Common Multiple of 95674 and 95681 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95674 and 95681, than apply into the LCM equation.
GCF(95674,95681) = 1
LCM(95674,95681) = ( 95674 × 95681) / 1
LCM(95674,95681) = 9154183994 / 1
LCM(95674,95681) = 9154183994
Least Common Multiple (LCM) of 95674 and 95681 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95674 and 95681. First we will calculate the prime factors of 95674 and 95681.
Prime Factorization of 95674
Prime factors of 95674 are 2, 47837. Prime factorization of 95674 in exponential form is:
95674 = 21 × 478371
Prime Factorization of 95681
Prime factors of 95681 are 163, 587. Prime factorization of 95681 in exponential form is:
95681 = 1631 × 5871
Now multiplying the highest exponent prime factors to calculate the LCM of 95674 and 95681.
LCM(95674,95681) = 21 × 478371 × 1631 × 5871
LCM(95674,95681) = 9154183994
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