What is the Least Common Multiple of 94157 and 94172?
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 94157 and 94172 is 8866953004.
LCM(94157,94172) = 8866953004
Least Common Multiple of 94157 and 94172 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94157 and 94172, than apply into the LCM equation.
GCF(94157,94172) = 1
LCM(94157,94172) = ( 94157 × 94172) / 1
LCM(94157,94172) = 8866953004 / 1
LCM(94157,94172) = 8866953004
Least Common Multiple (LCM) of 94157 and 94172 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94157 and 94172. First we will calculate the prime factors of 94157 and 94172.
Prime Factorization of 94157
Prime factors of 94157 are 7, 13451. Prime factorization of 94157 in exponential form is:
94157 = 71 × 134511
Prime Factorization of 94172
Prime factors of 94172 are 2, 13, 1811. Prime factorization of 94172 in exponential form is:
94172 = 22 × 131 × 18111
Now multiplying the highest exponent prime factors to calculate the LCM of 94157 and 94172.
LCM(94157,94172) = 71 × 134511 × 22 × 131 × 18111
LCM(94157,94172) = 8866953004
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