What is the Least Common Multiple of 14074 and 14092?
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 14074 and 14092 is 99165404.
LCM(14074,14092) = 99165404
Least Common Multiple of 14074 and 14092 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14074 and 14092, than apply into the LCM equation.
GCF(14074,14092) = 2
LCM(14074,14092) = ( 14074 × 14092) / 2
LCM(14074,14092) = 198330808 / 2
LCM(14074,14092) = 99165404
Least Common Multiple (LCM) of 14074 and 14092 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14074 and 14092. First we will calculate the prime factors of 14074 and 14092.
Prime Factorization of 14074
Prime factors of 14074 are 2, 31, 227. Prime factorization of 14074 in exponential form is:
14074 = 21 × 311 × 2271
Prime Factorization of 14092
Prime factors of 14092 are 2, 13, 271. Prime factorization of 14092 in exponential form is:
14092 = 22 × 131 × 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 14074 and 14092.
LCM(14074,14092) = 22 × 311 × 2271 × 131 × 2711
LCM(14074,14092) = 99165404
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