What is the Least Common Multiple of 5146 and 5157?
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 5146 and 5157 is 26537922.
LCM(5146,5157) = 26537922
Least Common Multiple of 5146 and 5157 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5146 and 5157, than apply into the LCM equation.
GCF(5146,5157) = 1
LCM(5146,5157) = ( 5146 × 5157) / 1
LCM(5146,5157) = 26537922 / 1
LCM(5146,5157) = 26537922
Least Common Multiple (LCM) of 5146 and 5157 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5146 and 5157. First we will calculate the prime factors of 5146 and 5157.
Prime Factorization of 5146
Prime factors of 5146 are 2, 31, 83. Prime factorization of 5146 in exponential form is:
5146 = 21 × 311 × 831
Prime Factorization of 5157
Prime factors of 5157 are 3, 191. Prime factorization of 5157 in exponential form is:
5157 = 33 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 5146 and 5157.
LCM(5146,5157) = 21 × 311 × 831 × 33 × 1911
LCM(5146,5157) = 26537922
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