What is the Least Common Multiple of 54155 and 54159?
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 54155 and 54159 is 2932980645.
LCM(54155,54159) = 2932980645
Least Common Multiple of 54155 and 54159 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54155 and 54159, than apply into the LCM equation.
GCF(54155,54159) = 1
LCM(54155,54159) = ( 54155 × 54159) / 1
LCM(54155,54159) = 2932980645 / 1
LCM(54155,54159) = 2932980645
Least Common Multiple (LCM) of 54155 and 54159 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54155 and 54159. First we will calculate the prime factors of 54155 and 54159.
Prime Factorization of 54155
Prime factors of 54155 are 5, 10831. Prime factorization of 54155 in exponential form is:
54155 = 51 × 108311
Prime Factorization of 54159
Prime factors of 54159 are 3, 7, 2579. Prime factorization of 54159 in exponential form is:
54159 = 31 × 71 × 25791
Now multiplying the highest exponent prime factors to calculate the LCM of 54155 and 54159.
LCM(54155,54159) = 51 × 108311 × 31 × 71 × 25791
LCM(54155,54159) = 2932980645
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