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Least Common Multiple of 57 and 76

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 57 and 76 is 228.

LCM(57,76) = 228

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Least Common Multiple of 57 and 76 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57 and 76, than apply into the LCM equation.

GCF(57,76) = 19
LCM(57,76) = ( 57 × 76) / 19
LCM(57,76) = 4332 / 19
LCM(57,76) = 228

Least Common Multiple (LCM) of 57 and 76 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57 and 76. First we will calculate the prime factors of 57 and 76.

Prime Factorization of 57

Prime factors of 57 are 3, 19. Prime factorization of 57 in exponential form is:

57 = 31 × 191

Prime Factorization of 76

Prime factors of 76 are 2, 19. Prime factorization of 76 in exponential form is:

76 = 22 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 57 and 76.

LCM(57,76) = 31 × 191 × 22
LCM(57,76) = 228

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