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What is the Least Common Multiple of 741 and 751?

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 741 and 751 is 556491.

LCM(741,751) = 556491

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Least Common Multiple of 741 and 751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 741 and 751, than apply into the LCM equation.

GCF(741,751) = 1
LCM(741,751) = ( 741 × 751) / 1
LCM(741,751) = 556491 / 1
LCM(741,751) = 556491

Least Common Multiple (LCM) of 741 and 751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 741 and 751. First we will calculate the prime factors of 741 and 751.

Prime Factorization of 741

Prime factors of 741 are 3, 13, 19. Prime factorization of 741 in exponential form is:

741 = 31 × 131 × 191

Prime Factorization of 751

Prime factors of 751 are 751. Prime factorization of 751 in exponential form is:

751 = 7511

Now multiplying the highest exponent prime factors to calculate the LCM of 741 and 751.

LCM(741,751) = 31 × 131 × 191 × 7511
LCM(741,751) = 556491