What is the Least Common Multiple of 93141 and 93151?
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 93141 and 93151 is 8676177291.
LCM(93141,93151) = 8676177291
Least Common Multiple of 93141 and 93151 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93141 and 93151, than apply into the LCM equation.
GCF(93141,93151) = 1
LCM(93141,93151) = ( 93141 × 93151) / 1
LCM(93141,93151) = 8676177291 / 1
LCM(93141,93151) = 8676177291
Least Common Multiple (LCM) of 93141 and 93151 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93141 and 93151. First we will calculate the prime factors of 93141 and 93151.
Prime Factorization of 93141
Prime factors of 93141 are 3, 79, 131. Prime factorization of 93141 in exponential form is:
93141 = 32 × 791 × 1311
Prime Factorization of 93151
Prime factors of 93151 are 93151. Prime factorization of 93151 in exponential form is:
93151 = 931511
Now multiplying the highest exponent prime factors to calculate the LCM of 93141 and 93151.
LCM(93141,93151) = 32 × 791 × 1311 × 931511
LCM(93141,93151) = 8676177291
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