What is the Least Common Multiple of 1691 and 1702?
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 1691 and 1702 is 2878082.
LCM(1691,1702) = 2878082
Least Common Multiple of 1691 and 1702 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1691 and 1702, than apply into the LCM equation.
GCF(1691,1702) = 1
LCM(1691,1702) = ( 1691 × 1702) / 1
LCM(1691,1702) = 2878082 / 1
LCM(1691,1702) = 2878082
Least Common Multiple (LCM) of 1691 and 1702 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1691 and 1702. First we will calculate the prime factors of 1691 and 1702.
Prime Factorization of 1691
Prime factors of 1691 are 19, 89. Prime factorization of 1691 in exponential form is:
1691 = 191 × 891
Prime Factorization of 1702
Prime factors of 1702 are 2, 23, 37. Prime factorization of 1702 in exponential form is:
1702 = 21 × 231 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 1691 and 1702.
LCM(1691,1702) = 191 × 891 × 21 × 231 × 371
LCM(1691,1702) = 2878082
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