What is the Least Common Multiple of 1707 and 1721?
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 1707 and 1721 is 2937747.
LCM(1707,1721) = 2937747
Least Common Multiple of 1707 and 1721 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1707 and 1721, than apply into the LCM equation.
GCF(1707,1721) = 1
LCM(1707,1721) = ( 1707 × 1721) / 1
LCM(1707,1721) = 2937747 / 1
LCM(1707,1721) = 2937747
Least Common Multiple (LCM) of 1707 and 1721 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1707 and 1721. First we will calculate the prime factors of 1707 and 1721.
Prime Factorization of 1707
Prime factors of 1707 are 3, 569. Prime factorization of 1707 in exponential form is:
1707 = 31 × 5691
Prime Factorization of 1721
Prime factors of 1721 are 1721. Prime factorization of 1721 in exponential form is:
1721 = 17211
Now multiplying the highest exponent prime factors to calculate the LCM of 1707 and 1721.
LCM(1707,1721) = 31 × 5691 × 17211
LCM(1707,1721) = 2937747
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