What is the Least Common Multiple of 94124 and 94143?
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 94124 and 94143 is 8861115732.
LCM(94124,94143) = 8861115732
Least Common Multiple of 94124 and 94143 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94124 and 94143, than apply into the LCM equation.
GCF(94124,94143) = 1
LCM(94124,94143) = ( 94124 × 94143) / 1
LCM(94124,94143) = 8861115732 / 1
LCM(94124,94143) = 8861115732
Least Common Multiple (LCM) of 94124 and 94143 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94124 and 94143. First we will calculate the prime factors of 94124 and 94143.
Prime Factorization of 94124
Prime factors of 94124 are 2, 23531. Prime factorization of 94124 in exponential form is:
94124 = 22 × 235311
Prime Factorization of 94143
Prime factors of 94143 are 3, 7, 4483. Prime factorization of 94143 in exponential form is:
94143 = 31 × 71 × 44831
Now multiplying the highest exponent prime factors to calculate the LCM of 94124 and 94143.
LCM(94124,94143) = 22 × 235311 × 31 × 71 × 44831
LCM(94124,94143) = 8861115732
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