What is the Least Common Multiple of 4273 and 4286?
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 4273 and 4286 is 18314078.
LCM(4273,4286) = 18314078
Least Common Multiple of 4273 and 4286 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4273 and 4286, than apply into the LCM equation.
GCF(4273,4286) = 1
LCM(4273,4286) = ( 4273 × 4286) / 1
LCM(4273,4286) = 18314078 / 1
LCM(4273,4286) = 18314078
Least Common Multiple (LCM) of 4273 and 4286 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4273 and 4286. First we will calculate the prime factors of 4273 and 4286.
Prime Factorization of 4273
Prime factors of 4273 are 4273. Prime factorization of 4273 in exponential form is:
4273 = 42731
Prime Factorization of 4286
Prime factors of 4286 are 2, 2143. Prime factorization of 4286 in exponential form is:
4286 = 21 × 21431
Now multiplying the highest exponent prime factors to calculate the LCM of 4273 and 4286.
LCM(4273,4286) = 42731 × 21 × 21431
LCM(4273,4286) = 18314078
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