What is the Least Common Multiple of 94286 and 94290?
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 94286 and 94290 is 4445113470.
LCM(94286,94290) = 4445113470
Least Common Multiple of 94286 and 94290 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94286 and 94290, than apply into the LCM equation.
GCF(94286,94290) = 2
LCM(94286,94290) = ( 94286 × 94290) / 2
LCM(94286,94290) = 8890226940 / 2
LCM(94286,94290) = 4445113470
Least Common Multiple (LCM) of 94286 and 94290 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94286 and 94290. First we will calculate the prime factors of 94286 and 94290.
Prime Factorization of 94286
Prime factors of 94286 are 2, 47143. Prime factorization of 94286 in exponential form is:
94286 = 21 × 471431
Prime Factorization of 94290
Prime factors of 94290 are 2, 3, 5, 7, 449. Prime factorization of 94290 in exponential form is:
94290 = 21 × 31 × 51 × 71 × 4491
Now multiplying the highest exponent prime factors to calculate the LCM of 94286 and 94290.
LCM(94286,94290) = 21 × 471431 × 31 × 51 × 71 × 4491
LCM(94286,94290) = 4445113470
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