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What is the Least Common Multiple of 56924 and 56940?

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 56924 and 56940 is 810313140.

LCM(56924,56940) = 810313140

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Least Common Multiple of 56924 and 56940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56924 and 56940, than apply into the LCM equation.

GCF(56924,56940) = 4
LCM(56924,56940) = ( 56924 × 56940) / 4
LCM(56924,56940) = 3241252560 / 4
LCM(56924,56940) = 810313140

Least Common Multiple (LCM) of 56924 and 56940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56924 and 56940. First we will calculate the prime factors of 56924 and 56940.

Prime Factorization of 56924

Prime factors of 56924 are 2, 7, 19, 107. Prime factorization of 56924 in exponential form is:

56924 = 22 × 71 × 191 × 1071

Prime Factorization of 56940

Prime factors of 56940 are 2, 3, 5, 13, 73. Prime factorization of 56940 in exponential form is:

56940 = 22 × 31 × 51 × 131 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 56924 and 56940.

LCM(56924,56940) = 22 × 71 × 191 × 1071 × 31 × 51 × 131 × 731
LCM(56924,56940) = 810313140