What is the Least Common Multiple of 6722 and 6740?
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 6722 and 6740 is 22653140.
LCM(6722,6740) = 22653140
Least Common Multiple of 6722 and 6740 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6722 and 6740, than apply into the LCM equation.
GCF(6722,6740) = 2
LCM(6722,6740) = ( 6722 × 6740) / 2
LCM(6722,6740) = 45306280 / 2
LCM(6722,6740) = 22653140
Least Common Multiple (LCM) of 6722 and 6740 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6722 and 6740. First we will calculate the prime factors of 6722 and 6740.
Prime Factorization of 6722
Prime factors of 6722 are 2, 3361. Prime factorization of 6722 in exponential form is:
6722 = 21 × 33611
Prime Factorization of 6740
Prime factors of 6740 are 2, 5, 337. Prime factorization of 6740 in exponential form is:
6740 = 22 × 51 × 3371
Now multiplying the highest exponent prime factors to calculate the LCM of 6722 and 6740.
LCM(6722,6740) = 22 × 33611 × 51 × 3371
LCM(6722,6740) = 22653140
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