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What is the Least Common Multiple of 56320 and 56324?

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 56320 and 56324 is 793041920.

LCM(56320,56324) = 793041920

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Least Common Multiple of 56320 and 56324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56320 and 56324, than apply into the LCM equation.

GCF(56320,56324) = 4
LCM(56320,56324) = ( 56320 × 56324) / 4
LCM(56320,56324) = 3172167680 / 4
LCM(56320,56324) = 793041920

Least Common Multiple (LCM) of 56320 and 56324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56320 and 56324. First we will calculate the prime factors of 56320 and 56324.

Prime Factorization of 56320

Prime factors of 56320 are 2, 5, 11. Prime factorization of 56320 in exponential form is:

56320 = 210 × 51 × 111

Prime Factorization of 56324

Prime factors of 56324 are 2, 14081. Prime factorization of 56324 in exponential form is:

56324 = 22 × 140811

Now multiplying the highest exponent prime factors to calculate the LCM of 56320 and 56324.

LCM(56320,56324) = 210 × 51 × 111 × 140811
LCM(56320,56324) = 793041920