What is the Least Common Multiple of 93155 and 93159?
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 93155 and 93159 is 8678226645.
LCM(93155,93159) = 8678226645
Least Common Multiple of 93155 and 93159 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93155 and 93159, than apply into the LCM equation.
GCF(93155,93159) = 1
LCM(93155,93159) = ( 93155 × 93159) / 1
LCM(93155,93159) = 8678226645 / 1
LCM(93155,93159) = 8678226645
Least Common Multiple (LCM) of 93155 and 93159 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93155 and 93159. First we will calculate the prime factors of 93155 and 93159.
Prime Factorization of 93155
Prime factors of 93155 are 5, 31, 601. Prime factorization of 93155 in exponential form is:
93155 = 51 × 311 × 6011
Prime Factorization of 93159
Prime factors of 93159 are 3, 11, 941. Prime factorization of 93159 in exponential form is:
93159 = 32 × 111 × 9411
Now multiplying the highest exponent prime factors to calculate the LCM of 93155 and 93159.
LCM(93155,93159) = 51 × 311 × 6011 × 32 × 111 × 9411
LCM(93155,93159) = 8678226645
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