What is the Least Common Multiple of 14368 and 14380?
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 14368 and 14380 is 51652960.
LCM(14368,14380) = 51652960
Least Common Multiple of 14368 and 14380 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14368 and 14380, than apply into the LCM equation.
GCF(14368,14380) = 4
LCM(14368,14380) = ( 14368 × 14380) / 4
LCM(14368,14380) = 206611840 / 4
LCM(14368,14380) = 51652960
Least Common Multiple (LCM) of 14368 and 14380 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14368 and 14380. First we will calculate the prime factors of 14368 and 14380.
Prime Factorization of 14368
Prime factors of 14368 are 2, 449. Prime factorization of 14368 in exponential form is:
14368 = 25 × 4491
Prime Factorization of 14380
Prime factors of 14380 are 2, 5, 719. Prime factorization of 14380 in exponential form is:
14380 = 22 × 51 × 7191
Now multiplying the highest exponent prime factors to calculate the LCM of 14368 and 14380.
LCM(14368,14380) = 25 × 4491 × 51 × 7191
LCM(14368,14380) = 51652960
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