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What is the Least Common Multiple of 11796 and 11803?

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 11796 and 11803 is 139228188.

LCM(11796,11803) = 139228188

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Least Common Multiple of 11796 and 11803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11796 and 11803, than apply into the LCM equation.

GCF(11796,11803) = 1
LCM(11796,11803) = ( 11796 × 11803) / 1
LCM(11796,11803) = 139228188 / 1
LCM(11796,11803) = 139228188

Least Common Multiple (LCM) of 11796 and 11803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11796 and 11803. First we will calculate the prime factors of 11796 and 11803.

Prime Factorization of 11796

Prime factors of 11796 are 2, 3, 983. Prime factorization of 11796 in exponential form is:

11796 = 22 × 31 × 9831

Prime Factorization of 11803

Prime factors of 11803 are 11, 29, 37. Prime factorization of 11803 in exponential form is:

11803 = 111 × 291 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 11796 and 11803.

LCM(11796,11803) = 22 × 31 × 9831 × 111 × 291 × 371
LCM(11796,11803) = 139228188