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What is the Least Common Multiple of 1702 and 1720?

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 1720 is 1463720.

LCM(1702,1720) = 1463720

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Least Common Multiple of 1702 and 1720 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 1720, than apply into the LCM equation.

GCF(1702,1720) = 2
LCM(1702,1720) = ( 1702 × 1720) / 2
LCM(1702,1720) = 2927440 / 2
LCM(1702,1720) = 1463720

Least Common Multiple (LCM) of 1702 and 1720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1702 and 1720. First we will calculate the prime factors of 1702 and 1720.

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 1720

Prime factors of 1720 are 2, 5, 43. Prime factorization of 1720 in exponential form is:

1720 = 23 × 51 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 1702 and 1720.

LCM(1702,1720) = 23 × 231 × 371 × 51 × 431
LCM(1702,1720) = 1463720