What is the Least Common Multiple of 94531 and 94546?
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 94531 and 94546 is 8937527926.
LCM(94531,94546) = 8937527926
Least Common Multiple of 94531 and 94546 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94531 and 94546, than apply into the LCM equation.
GCF(94531,94546) = 1
LCM(94531,94546) = ( 94531 × 94546) / 1
LCM(94531,94546) = 8937527926 / 1
LCM(94531,94546) = 8937527926
Least Common Multiple (LCM) of 94531 and 94546 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94531 and 94546. First we will calculate the prime factors of 94531 and 94546.
Prime Factorization of 94531
Prime factors of 94531 are 94531. Prime factorization of 94531 in exponential form is:
94531 = 945311
Prime Factorization of 94546
Prime factors of 94546 are 2, 41, 1153. Prime factorization of 94546 in exponential form is:
94546 = 21 × 411 × 11531
Now multiplying the highest exponent prime factors to calculate the LCM of 94531 and 94546.
LCM(94531,94546) = 945311 × 21 × 411 × 11531
LCM(94531,94546) = 8937527926
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