What is the Least Common Multiple of 5138 and 5150?
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 5138 and 5150 is 13230350.
LCM(5138,5150) = 13230350
Least Common Multiple of 5138 and 5150 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5138 and 5150, than apply into the LCM equation.
GCF(5138,5150) = 2
LCM(5138,5150) = ( 5138 × 5150) / 2
LCM(5138,5150) = 26460700 / 2
LCM(5138,5150) = 13230350
Least Common Multiple (LCM) of 5138 and 5150 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5138 and 5150. First we will calculate the prime factors of 5138 and 5150.
Prime Factorization of 5138
Prime factors of 5138 are 2, 7, 367. Prime factorization of 5138 in exponential form is:
5138 = 21 × 71 × 3671
Prime Factorization of 5150
Prime factors of 5150 are 2, 5, 103. Prime factorization of 5150 in exponential form is:
5150 = 21 × 52 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 5138 and 5150.
LCM(5138,5150) = 21 × 71 × 3671 × 52 × 1031
LCM(5138,5150) = 13230350
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