What is the Least Common Multiple of 6692 and 6702?
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 6692 and 6702 is 22424892.
LCM(6692,6702) = 22424892
Least Common Multiple of 6692 and 6702 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6692 and 6702, than apply into the LCM equation.
GCF(6692,6702) = 2
LCM(6692,6702) = ( 6692 × 6702) / 2
LCM(6692,6702) = 44849784 / 2
LCM(6692,6702) = 22424892
Least Common Multiple (LCM) of 6692 and 6702 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6692 and 6702. First we will calculate the prime factors of 6692 and 6702.
Prime Factorization of 6692
Prime factors of 6692 are 2, 7, 239. Prime factorization of 6692 in exponential form is:
6692 = 22 × 71 × 2391
Prime Factorization of 6702
Prime factors of 6702 are 2, 3, 1117. Prime factorization of 6702 in exponential form is:
6702 = 21 × 31 × 11171
Now multiplying the highest exponent prime factors to calculate the LCM of 6692 and 6702.
LCM(6692,6702) = 22 × 71 × 2391 × 31 × 11171
LCM(6692,6702) = 22424892
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