What is the Least Common Multiple of 4068 and 4076?
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 4068 and 4076 is 4145292.
LCM(4068,4076) = 4145292
Least Common Multiple of 4068 and 4076 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4068 and 4076, than apply into the LCM equation.
GCF(4068,4076) = 4
LCM(4068,4076) = ( 4068 × 4076) / 4
LCM(4068,4076) = 16581168 / 4
LCM(4068,4076) = 4145292
Least Common Multiple (LCM) of 4068 and 4076 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4068 and 4076. First we will calculate the prime factors of 4068 and 4076.
Prime Factorization of 4068
Prime factors of 4068 are 2, 3, 113. Prime factorization of 4068 in exponential form is:
4068 = 22 × 32 × 1131
Prime Factorization of 4076
Prime factors of 4076 are 2, 1019. Prime factorization of 4076 in exponential form is:
4076 = 22 × 10191
Now multiplying the highest exponent prime factors to calculate the LCM of 4068 and 4076.
LCM(4068,4076) = 22 × 32 × 1131 × 10191
LCM(4068,4076) = 4145292
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