What is the Least Common Multiple of 4253 and 4262?
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 4253 and 4262 is 18126286.
LCM(4253,4262) = 18126286
Least Common Multiple of 4253 and 4262 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4253 and 4262, than apply into the LCM equation.
GCF(4253,4262) = 1
LCM(4253,4262) = ( 4253 × 4262) / 1
LCM(4253,4262) = 18126286 / 1
LCM(4253,4262) = 18126286
Least Common Multiple (LCM) of 4253 and 4262 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4253 and 4262. First we will calculate the prime factors of 4253 and 4262.
Prime Factorization of 4253
Prime factors of 4253 are 4253. Prime factorization of 4253 in exponential form is:
4253 = 42531
Prime Factorization of 4262
Prime factors of 4262 are 2, 2131. Prime factorization of 4262 in exponential form is:
4262 = 21 × 21311
Now multiplying the highest exponent prime factors to calculate the LCM of 4253 and 4262.
LCM(4253,4262) = 42531 × 21 × 21311
LCM(4253,4262) = 18126286
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