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What is the Least Common Multiple of 56108 and 56121?

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 56108 and 56121 is 242218236.

LCM(56108,56121) = 242218236

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Least Common Multiple of 56108 and 56121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56108 and 56121, than apply into the LCM equation.

GCF(56108,56121) = 13
LCM(56108,56121) = ( 56108 × 56121) / 13
LCM(56108,56121) = 3148837068 / 13
LCM(56108,56121) = 242218236

Least Common Multiple (LCM) of 56108 and 56121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56108 and 56121. First we will calculate the prime factors of 56108 and 56121.

Prime Factorization of 56108

Prime factors of 56108 are 2, 13, 83. Prime factorization of 56108 in exponential form is:

56108 = 22 × 132 × 831

Prime Factorization of 56121

Prime factors of 56121 are 3, 13, 1439. Prime factorization of 56121 in exponential form is:

56121 = 31 × 131 × 14391

Now multiplying the highest exponent prime factors to calculate the LCM of 56108 and 56121.

LCM(56108,56121) = 22 × 132 × 831 × 31 × 14391
LCM(56108,56121) = 242218236