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What is the Least Common Multiple of 56914 and 56920?

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 56914 and 56920 is 1619772440.

LCM(56914,56920) = 1619772440

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Least Common Multiple of 56914 and 56920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56914 and 56920, than apply into the LCM equation.

GCF(56914,56920) = 2
LCM(56914,56920) = ( 56914 × 56920) / 2
LCM(56914,56920) = 3239544880 / 2
LCM(56914,56920) = 1619772440

Least Common Multiple (LCM) of 56914 and 56920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56914 and 56920. First we will calculate the prime factors of 56914 and 56920.

Prime Factorization of 56914

Prime factors of 56914 are 2, 11, 13, 199. Prime factorization of 56914 in exponential form is:

56914 = 21 × 111 × 131 × 1991

Prime Factorization of 56920

Prime factors of 56920 are 2, 5, 1423. Prime factorization of 56920 in exponential form is:

56920 = 23 × 51 × 14231

Now multiplying the highest exponent prime factors to calculate the LCM of 56914 and 56920.

LCM(56914,56920) = 23 × 111 × 131 × 1991 × 51 × 14231
LCM(56914,56920) = 1619772440