What is the Least Common Multiple of 4073 and 4077?
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 4073 and 4077 is 16605621.
LCM(4073,4077) = 16605621
Least Common Multiple of 4073 and 4077 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4073 and 4077, than apply into the LCM equation.
GCF(4073,4077) = 1
LCM(4073,4077) = ( 4073 × 4077) / 1
LCM(4073,4077) = 16605621 / 1
LCM(4073,4077) = 16605621
Least Common Multiple (LCM) of 4073 and 4077 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4073 and 4077. First we will calculate the prime factors of 4073 and 4077.
Prime Factorization of 4073
Prime factors of 4073 are 4073. Prime factorization of 4073 in exponential form is:
4073 = 40731
Prime Factorization of 4077
Prime factors of 4077 are 3, 151. Prime factorization of 4077 in exponential form is:
4077 = 33 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 4073 and 4077.
LCM(4073,4077) = 40731 × 33 × 1511
LCM(4073,4077) = 16605621
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