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What is the Least Common Multiple of 1739 and 1748?

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 1739 and 1748 is 3039772.

LCM(1739,1748) = 3039772

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Least Common Multiple of 1739 and 1748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1739 and 1748, than apply into the LCM equation.

GCF(1739,1748) = 1
LCM(1739,1748) = ( 1739 × 1748) / 1
LCM(1739,1748) = 3039772 / 1
LCM(1739,1748) = 3039772

Least Common Multiple (LCM) of 1739 and 1748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1739 and 1748. First we will calculate the prime factors of 1739 and 1748.

Prime Factorization of 1739

Prime factors of 1739 are 37, 47. Prime factorization of 1739 in exponential form is:

1739 = 371 × 471

Prime Factorization of 1748

Prime factors of 1748 are 2, 19, 23. Prime factorization of 1748 in exponential form is:

1748 = 22 × 191 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 1739 and 1748.

LCM(1739,1748) = 371 × 471 × 22 × 191 × 231
LCM(1739,1748) = 3039772