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What is the Least Common Multiple of 1702 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 1702 and 1721 is 2929142.

LCM(1702,1721) = 2929142

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Least Common Multiple of 1702 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 1702 and 1721, than apply into the LCM equation.

GCF(1702,1721) = 1
LCM(1702,1721) = ( 1702 × 1721) / 1
LCM(1702,1721) = 2929142 / 1
LCM(1702,1721) = 2929142

Least Common Multiple (LCM) of 1702 and 1721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1702 and 1721. First we will calculate the prime factors of 1702 and 1721.

Prime Factorization of 1702

Prime factors of 1702 are 2, 23, 37. Prime factorization of 1702 in exponential form is:

1702 = 21 × 231 × 371

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 1702 and 1721.

LCM(1702,1721) = 21 × 231 × 371 × 17211
LCM(1702,1721) = 2929142