What is the Least Common Multiple of 94156 and 94166?
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 94156 and 94166 is 4433146948.
LCM(94156,94166) = 4433146948
Least Common Multiple of 94156 and 94166 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94156 and 94166, than apply into the LCM equation.
GCF(94156,94166) = 2
LCM(94156,94166) = ( 94156 × 94166) / 2
LCM(94156,94166) = 8866293896 / 2
LCM(94156,94166) = 4433146948
Least Common Multiple (LCM) of 94156 and 94166 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94156 and 94166. First we will calculate the prime factors of 94156 and 94166.
Prime Factorization of 94156
Prime factors of 94156 are 2, 23539. Prime factorization of 94156 in exponential form is:
94156 = 22 × 235391
Prime Factorization of 94166
Prime factors of 94166 are 2, 197, 239. Prime factorization of 94166 in exponential form is:
94166 = 21 × 1971 × 2391
Now multiplying the highest exponent prime factors to calculate the LCM of 94156 and 94166.
LCM(94156,94166) = 22 × 235391 × 1971 × 2391
LCM(94156,94166) = 4433146948
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