What is the Least Common Multiple of 15112 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 15112 and 15124 is 57138472.
LCM(15112,15124) = 57138472
Least Common Multiple of 15112 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 15112 and 15124, than apply into the LCM equation.
GCF(15112,15124) = 4
LCM(15112,15124) = ( 15112 × 15124) / 4
LCM(15112,15124) = 228553888 / 4
LCM(15112,15124) = 57138472
Least Common Multiple (LCM) of 15112 and 15124 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15112 and 15124. First we will calculate the prime factors of 15112 and 15124.
Prime Factorization of 15112
Prime factors of 15112 are 2, 1889. Prime factorization of 15112 in exponential form is:
15112 = 23 × 18891
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 15112 and 15124.
LCM(15112,15124) = 23 × 18891 × 191 × 1991
LCM(15112,15124) = 57138472
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