What is the Least Common Multiple of 15114 and 15124?
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 15114 and 15124 is 114292068.
LCM(15114,15124) = 114292068
Least Common Multiple of 15114 and 15124 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15114 and 15124, than apply into the LCM equation.
GCF(15114,15124) = 2
LCM(15114,15124) = ( 15114 × 15124) / 2
LCM(15114,15124) = 228584136 / 2
LCM(15114,15124) = 114292068
Least Common Multiple (LCM) of 15114 and 15124 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15114 and 15124. First we will calculate the prime factors of 15114 and 15124.
Prime Factorization of 15114
Prime factors of 15114 are 2, 3, 11, 229. Prime factorization of 15114 in exponential form is:
15114 = 21 × 31 × 111 × 2291
Prime Factorization of 15124
Prime factors of 15124 are 2, 19, 199. Prime factorization of 15124 in exponential form is:
15124 = 22 × 191 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 15114 and 15124.
LCM(15114,15124) = 22 × 31 × 111 × 2291 × 191 × 1991
LCM(15114,15124) = 114292068
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