What is the Least Common Multiple of 94677 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 94677 and 94690 is 8964965130.
LCM(94677,94690) = 8964965130
Least Common Multiple of 94677 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 94677 and 94690, than apply into the LCM equation.
GCF(94677,94690) = 1
LCM(94677,94690) = ( 94677 × 94690) / 1
LCM(94677,94690) = 8964965130 / 1
LCM(94677,94690) = 8964965130
Least Common Multiple (LCM) of 94677 and 94690 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94677 and 94690. First we will calculate the prime factors of 94677 and 94690.
Prime Factorization of 94677
Prime factors of 94677 are 3, 11, 19, 151. Prime factorization of 94677 in exponential form is:
94677 = 31 × 111 × 191 × 1511
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 94677 and 94690.
LCM(94677,94690) = 31 × 111 × 191 × 1511 × 21 × 51 × 171 × 5571
LCM(94677,94690) = 8964965130
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