What is the Least Common Multiple of 4279 and 4283?
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 4279 and 4283 is 18326957.
LCM(4279,4283) = 18326957
Least Common Multiple of 4279 and 4283 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4279 and 4283, than apply into the LCM equation.
GCF(4279,4283) = 1
LCM(4279,4283) = ( 4279 × 4283) / 1
LCM(4279,4283) = 18326957 / 1
LCM(4279,4283) = 18326957
Least Common Multiple (LCM) of 4279 and 4283 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4279 and 4283. First we will calculate the prime factors of 4279 and 4283.
Prime Factorization of 4279
Prime factors of 4279 are 11, 389. Prime factorization of 4279 in exponential form is:
4279 = 111 × 3891
Prime Factorization of 4283
Prime factors of 4283 are 4283. Prime factorization of 4283 in exponential form is:
4283 = 42831
Now multiplying the highest exponent prime factors to calculate the LCM of 4279 and 4283.
LCM(4279,4283) = 111 × 3891 × 42831
LCM(4279,4283) = 18326957
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