What is the Least Common Multiple of 94676 and 94690?
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 94676 and 94690 is 4482435220.
LCM(94676,94690) = 4482435220
Least Common Multiple of 94676 and 94690 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94676 and 94690, than apply into the LCM equation.
GCF(94676,94690) = 2
LCM(94676,94690) = ( 94676 × 94690) / 2
LCM(94676,94690) = 8964870440 / 2
LCM(94676,94690) = 4482435220
Least Common Multiple (LCM) of 94676 and 94690 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94676 and 94690. First we will calculate the prime factors of 94676 and 94690.
Prime Factorization of 94676
Prime factors of 94676 are 2, 23669. Prime factorization of 94676 in exponential form is:
94676 = 22 × 236691
Prime Factorization of 94690
Prime factors of 94690 are 2, 5, 17, 557. Prime factorization of 94690 in exponential form is:
94690 = 21 × 51 × 171 × 5571
Now multiplying the highest exponent prime factors to calculate the LCM of 94676 and 94690.
LCM(94676,94690) = 22 × 236691 × 51 × 171 × 5571
LCM(94676,94690) = 4482435220
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