What is the Least Common Multiple of 94153 and 94167?
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 94153 and 94167 is 8866105551.
LCM(94153,94167) = 8866105551
Least Common Multiple of 94153 and 94167 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94153 and 94167, than apply into the LCM equation.
GCF(94153,94167) = 1
LCM(94153,94167) = ( 94153 × 94167) / 1
LCM(94153,94167) = 8866105551 / 1
LCM(94153,94167) = 8866105551
Least Common Multiple (LCM) of 94153 and 94167 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94153 and 94167. First we will calculate the prime factors of 94153 and 94167.
Prime Factorization of 94153
Prime factors of 94153 are 94153. Prime factorization of 94153 in exponential form is:
94153 = 941531
Prime Factorization of 94167
Prime factors of 94167 are 3, 10463. Prime factorization of 94167 in exponential form is:
94167 = 32 × 104631
Now multiplying the highest exponent prime factors to calculate the LCM of 94153 and 94167.
LCM(94153,94167) = 941531 × 32 × 104631
LCM(94153,94167) = 8866105551
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