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What is the Least Common Multiple of 739 and 754?

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 739 and 754 is 557206.

LCM(739,754) = 557206

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Least Common Multiple of 739 and 754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 739 and 754, than apply into the LCM equation.

GCF(739,754) = 1
LCM(739,754) = ( 739 × 754) / 1
LCM(739,754) = 557206 / 1
LCM(739,754) = 557206

Least Common Multiple (LCM) of 739 and 754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 739 and 754. First we will calculate the prime factors of 739 and 754.

Prime Factorization of 739

Prime factors of 739 are 739. Prime factorization of 739 in exponential form is:

739 = 7391

Prime Factorization of 754

Prime factors of 754 are 2, 13, 29. Prime factorization of 754 in exponential form is:

754 = 21 × 131 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 739 and 754.

LCM(739,754) = 7391 × 21 × 131 × 291
LCM(739,754) = 557206