What is the Least Common Multiple of 94516 and 94521?
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 94516 and 94521 is 8933746836.
LCM(94516,94521) = 8933746836
Least Common Multiple of 94516 and 94521 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94516 and 94521, than apply into the LCM equation.
GCF(94516,94521) = 1
LCM(94516,94521) = ( 94516 × 94521) / 1
LCM(94516,94521) = 8933746836 / 1
LCM(94516,94521) = 8933746836
Least Common Multiple (LCM) of 94516 and 94521 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94516 and 94521. First we will calculate the prime factors of 94516 and 94521.
Prime Factorization of 94516
Prime factors of 94516 are 2, 23629. Prime factorization of 94516 in exponential form is:
94516 = 22 × 236291
Prime Factorization of 94521
Prime factors of 94521 are 3, 7, 643. Prime factorization of 94521 in exponential form is:
94521 = 31 × 72 × 6431
Now multiplying the highest exponent prime factors to calculate the LCM of 94516 and 94521.
LCM(94516,94521) = 22 × 236291 × 31 × 72 × 6431
LCM(94516,94521) = 8933746836
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