What is the Least Common Multiple of 15274 and 15286?
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 15274 and 15286 is 116739182.
LCM(15274,15286) = 116739182
Least Common Multiple of 15274 and 15286 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15274 and 15286, than apply into the LCM equation.
GCF(15274,15286) = 2
LCM(15274,15286) = ( 15274 × 15286) / 2
LCM(15274,15286) = 233478364 / 2
LCM(15274,15286) = 116739182
Least Common Multiple (LCM) of 15274 and 15286 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15274 and 15286. First we will calculate the prime factors of 15274 and 15286.
Prime Factorization of 15274
Prime factors of 15274 are 2, 7, 1091. Prime factorization of 15274 in exponential form is:
15274 = 21 × 71 × 10911
Prime Factorization of 15286
Prime factors of 15286 are 2, 7643. Prime factorization of 15286 in exponential form is:
15286 = 21 × 76431
Now multiplying the highest exponent prime factors to calculate the LCM of 15274 and 15286.
LCM(15274,15286) = 21 × 71 × 10911 × 76431
LCM(15274,15286) = 116739182
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