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What is the Least Common Multiple of 691 and 703?

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 691 and 703 is 485773.

LCM(691,703) = 485773

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Least Common Multiple of 691 and 703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 691 and 703, than apply into the LCM equation.

GCF(691,703) = 1
LCM(691,703) = ( 691 × 703) / 1
LCM(691,703) = 485773 / 1
LCM(691,703) = 485773

Least Common Multiple (LCM) of 691 and 703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 691 and 703. First we will calculate the prime factors of 691 and 703.

Prime Factorization of 691

Prime factors of 691 are 691. Prime factorization of 691 in exponential form is:

691 = 6911

Prime Factorization of 703

Prime factors of 703 are 19, 37. Prime factorization of 703 in exponential form is:

703 = 191 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 691 and 703.

LCM(691,703) = 6911 × 191 × 371
LCM(691,703) = 485773