What is the Least Common Multiple of 94526 and 94531?
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 94526 and 94531 is 8935637306.
LCM(94526,94531) = 8935637306
Least Common Multiple of 94526 and 94531 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94526 and 94531, than apply into the LCM equation.
GCF(94526,94531) = 1
LCM(94526,94531) = ( 94526 × 94531) / 1
LCM(94526,94531) = 8935637306 / 1
LCM(94526,94531) = 8935637306
Least Common Multiple (LCM) of 94526 and 94531 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94526 and 94531. First we will calculate the prime factors of 94526 and 94531.
Prime Factorization of 94526
Prime factors of 94526 are 2, 151, 313. Prime factorization of 94526 in exponential form is:
94526 = 21 × 1511 × 3131
Prime Factorization of 94531
Prime factors of 94531 are 94531. Prime factorization of 94531 in exponential form is:
94531 = 945311
Now multiplying the highest exponent prime factors to calculate the LCM of 94526 and 94531.
LCM(94526,94531) = 21 × 1511 × 3131 × 945311
LCM(94526,94531) = 8935637306
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