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What is the Least Common Multiple of 56769 and 56775?

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 56769 and 56775 is 1074353325.

LCM(56769,56775) = 1074353325

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Least Common Multiple of 56769 and 56775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56769 and 56775, than apply into the LCM equation.

GCF(56769,56775) = 3
LCM(56769,56775) = ( 56769 × 56775) / 3
LCM(56769,56775) = 3223059975 / 3
LCM(56769,56775) = 1074353325

Least Common Multiple (LCM) of 56769 and 56775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56769 and 56775. First we will calculate the prime factors of 56769 and 56775.

Prime Factorization of 56769

Prime factors of 56769 are 3, 127, 149. Prime factorization of 56769 in exponential form is:

56769 = 31 × 1271 × 1491

Prime Factorization of 56775

Prime factors of 56775 are 3, 5, 757. Prime factorization of 56775 in exponential form is:

56775 = 31 × 52 × 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 56769 and 56775.

LCM(56769,56775) = 31 × 1271 × 1491 × 52 × 7571
LCM(56769,56775) = 1074353325