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What is the Least Common Multiple of 747 and 760?

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 747 and 760 is 567720.

LCM(747,760) = 567720

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Least Common Multiple of 747 and 760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 747 and 760, than apply into the LCM equation.

GCF(747,760) = 1
LCM(747,760) = ( 747 × 760) / 1
LCM(747,760) = 567720 / 1
LCM(747,760) = 567720

Least Common Multiple (LCM) of 747 and 760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 747 and 760. First we will calculate the prime factors of 747 and 760.

Prime Factorization of 747

Prime factors of 747 are 3, 83. Prime factorization of 747 in exponential form is:

747 = 32 × 831

Prime Factorization of 760

Prime factors of 760 are 2, 5, 19. Prime factorization of 760 in exponential form is:

760 = 23 × 51 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 747 and 760.

LCM(747,760) = 32 × 831 × 23 × 51 × 191
LCM(747,760) = 567720