What is the Least Common Multiple of 6710 and 6724?
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 6710 and 6724 is 22559020.
LCM(6710,6724) = 22559020
Least Common Multiple of 6710 and 6724 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6710 and 6724, than apply into the LCM equation.
GCF(6710,6724) = 2
LCM(6710,6724) = ( 6710 × 6724) / 2
LCM(6710,6724) = 45118040 / 2
LCM(6710,6724) = 22559020
Least Common Multiple (LCM) of 6710 and 6724 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6710 and 6724. First we will calculate the prime factors of 6710 and 6724.
Prime Factorization of 6710
Prime factors of 6710 are 2, 5, 11, 61. Prime factorization of 6710 in exponential form is:
6710 = 21 × 51 × 111 × 611
Prime Factorization of 6724
Prime factors of 6724 are 2, 41. Prime factorization of 6724 in exponential form is:
6724 = 22 × 412
Now multiplying the highest exponent prime factors to calculate the LCM of 6710 and 6724.
LCM(6710,6724) = 22 × 51 × 111 × 611 × 412
LCM(6710,6724) = 22559020
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