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What is the Least Common Multiple of 56248 and 56260?

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 56248 and 56260 is 791128120.

LCM(56248,56260) = 791128120

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Least Common Multiple of 56248 and 56260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56248 and 56260, than apply into the LCM equation.

GCF(56248,56260) = 4
LCM(56248,56260) = ( 56248 × 56260) / 4
LCM(56248,56260) = 3164512480 / 4
LCM(56248,56260) = 791128120

Least Common Multiple (LCM) of 56248 and 56260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56248 and 56260. First we will calculate the prime factors of 56248 and 56260.

Prime Factorization of 56248

Prime factors of 56248 are 2, 79, 89. Prime factorization of 56248 in exponential form is:

56248 = 23 × 791 × 891

Prime Factorization of 56260

Prime factors of 56260 are 2, 5, 29, 97. Prime factorization of 56260 in exponential form is:

56260 = 22 × 51 × 291 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 56248 and 56260.

LCM(56248,56260) = 23 × 791 × 891 × 51 × 291 × 971
LCM(56248,56260) = 791128120