What is the Least Common Multiple of 6707 and 6715?
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 6707 and 6715 is 45037505.
LCM(6707,6715) = 45037505
Least Common Multiple of 6707 and 6715 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6707 and 6715, than apply into the LCM equation.
GCF(6707,6715) = 1
LCM(6707,6715) = ( 6707 × 6715) / 1
LCM(6707,6715) = 45037505 / 1
LCM(6707,6715) = 45037505
Least Common Multiple (LCM) of 6707 and 6715 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6707 and 6715. First we will calculate the prime factors of 6707 and 6715.
Prime Factorization of 6707
Prime factors of 6707 are 19, 353. Prime factorization of 6707 in exponential form is:
6707 = 191 × 3531
Prime Factorization of 6715
Prime factors of 6715 are 5, 17, 79. Prime factorization of 6715 in exponential form is:
6715 = 51 × 171 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 6707 and 6715.
LCM(6707,6715) = 191 × 3531 × 51 × 171 × 791
LCM(6707,6715) = 45037505
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