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What is the Least Common Multiple of 56244 and 56264?

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 56244 and 56264 is 791128104.

LCM(56244,56264) = 791128104

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Least Common Multiple of 56244 and 56264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56244 and 56264, than apply into the LCM equation.

GCF(56244,56264) = 4
LCM(56244,56264) = ( 56244 × 56264) / 4
LCM(56244,56264) = 3164512416 / 4
LCM(56244,56264) = 791128104

Least Common Multiple (LCM) of 56244 and 56264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56244 and 56264. First we will calculate the prime factors of 56244 and 56264.

Prime Factorization of 56244

Prime factors of 56244 are 2, 3, 43, 109. Prime factorization of 56244 in exponential form is:

56244 = 22 × 31 × 431 × 1091

Prime Factorization of 56264

Prime factors of 56264 are 2, 13, 541. Prime factorization of 56264 in exponential form is:

56264 = 23 × 131 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 56244 and 56264.

LCM(56244,56264) = 23 × 31 × 431 × 1091 × 131 × 5411
LCM(56244,56264) = 791128104