What is the Least Common Multiple of 5150 and 5156?
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 5150 and 5156 is 13276700.
LCM(5150,5156) = 13276700
Least Common Multiple of 5150 and 5156 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5150 and 5156, than apply into the LCM equation.
GCF(5150,5156) = 2
LCM(5150,5156) = ( 5150 × 5156) / 2
LCM(5150,5156) = 26553400 / 2
LCM(5150,5156) = 13276700
Least Common Multiple (LCM) of 5150 and 5156 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5150 and 5156. First we will calculate the prime factors of 5150 and 5156.
Prime Factorization of 5150
Prime factors of 5150 are 2, 5, 103. Prime factorization of 5150 in exponential form is:
5150 = 21 × 52 × 1031
Prime Factorization of 5156
Prime factors of 5156 are 2, 1289. Prime factorization of 5156 in exponential form is:
5156 = 22 × 12891
Now multiplying the highest exponent prime factors to calculate the LCM of 5150 and 5156.
LCM(5150,5156) = 22 × 52 × 1031 × 12891
LCM(5150,5156) = 13276700
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