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What is the Least Common Multiple of 56274 and 56283?

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 56274 and 56283 is 1055756514.

LCM(56274,56283) = 1055756514

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Least Common Multiple of 56274 and 56283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56274 and 56283, than apply into the LCM equation.

GCF(56274,56283) = 3
LCM(56274,56283) = ( 56274 × 56283) / 3
LCM(56274,56283) = 3167269542 / 3
LCM(56274,56283) = 1055756514

Least Common Multiple (LCM) of 56274 and 56283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56274 and 56283. First we will calculate the prime factors of 56274 and 56283.

Prime Factorization of 56274

Prime factors of 56274 are 2, 3, 83, 113. Prime factorization of 56274 in exponential form is:

56274 = 21 × 31 × 831 × 1131

Prime Factorization of 56283

Prime factors of 56283 are 3, 73, 257. Prime factorization of 56283 in exponential form is:

56283 = 31 × 731 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 56274 and 56283.

LCM(56274,56283) = 21 × 31 × 831 × 1131 × 731 × 2571
LCM(56274,56283) = 1055756514