What is the Least Common Multiple of 6741 and 6748?
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 6741 and 6748 is 6498324.
LCM(6741,6748) = 6498324
Least Common Multiple of 6741 and 6748 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6741 and 6748, than apply into the LCM equation.
GCF(6741,6748) = 7
LCM(6741,6748) = ( 6741 × 6748) / 7
LCM(6741,6748) = 45488268 / 7
LCM(6741,6748) = 6498324
Least Common Multiple (LCM) of 6741 and 6748 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6741 and 6748. First we will calculate the prime factors of 6741 and 6748.
Prime Factorization of 6741
Prime factors of 6741 are 3, 7, 107. Prime factorization of 6741 in exponential form is:
6741 = 32 × 71 × 1071
Prime Factorization of 6748
Prime factors of 6748 are 2, 7, 241. Prime factorization of 6748 in exponential form is:
6748 = 22 × 71 × 2411
Now multiplying the highest exponent prime factors to calculate the LCM of 6741 and 6748.
LCM(6741,6748) = 32 × 71 × 1071 × 22 × 2411
LCM(6741,6748) = 6498324
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