What is the Least Common Multiple of 94134 and 94145?
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 94134 and 94145 is 8862245430.
LCM(94134,94145) = 8862245430
Least Common Multiple of 94134 and 94145 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94134 and 94145, than apply into the LCM equation.
GCF(94134,94145) = 1
LCM(94134,94145) = ( 94134 × 94145) / 1
LCM(94134,94145) = 8862245430 / 1
LCM(94134,94145) = 8862245430
Least Common Multiple (LCM) of 94134 and 94145 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94134 and 94145. First we will calculate the prime factors of 94134 and 94145.
Prime Factorization of 94134
Prime factors of 94134 are 2, 3, 29, 541. Prime factorization of 94134 in exponential form is:
94134 = 21 × 31 × 291 × 5411
Prime Factorization of 94145
Prime factors of 94145 are 5, 19, 991. Prime factorization of 94145 in exponential form is:
94145 = 51 × 191 × 9911
Now multiplying the highest exponent prime factors to calculate the LCM of 94134 and 94145.
LCM(94134,94145) = 21 × 31 × 291 × 5411 × 51 × 191 × 9911
LCM(94134,94145) = 8862245430
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