What is the Least Common Multiple of 94885 and 94898?
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 94885 and 94898 is 9004396730.
LCM(94885,94898) = 9004396730
Least Common Multiple of 94885 and 94898 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94885 and 94898, than apply into the LCM equation.
GCF(94885,94898) = 1
LCM(94885,94898) = ( 94885 × 94898) / 1
LCM(94885,94898) = 9004396730 / 1
LCM(94885,94898) = 9004396730
Least Common Multiple (LCM) of 94885 and 94898 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94885 and 94898. First we will calculate the prime factors of 94885 and 94898.
Prime Factorization of 94885
Prime factors of 94885 are 5, 7, 2711. Prime factorization of 94885 in exponential form is:
94885 = 51 × 71 × 27111
Prime Factorization of 94898
Prime factors of 94898 are 2, 23, 2063. Prime factorization of 94898 in exponential form is:
94898 = 21 × 231 × 20631
Now multiplying the highest exponent prime factors to calculate the LCM of 94885 and 94898.
LCM(94885,94898) = 51 × 71 × 27111 × 21 × 231 × 20631
LCM(94885,94898) = 9004396730
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