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What is the Least Common Multiple of 55196 and 55206?

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 55196 and 55206 is 1523575188.

LCM(55196,55206) = 1523575188

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Least Common Multiple of 55196 and 55206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55196 and 55206, than apply into the LCM equation.

GCF(55196,55206) = 2
LCM(55196,55206) = ( 55196 × 55206) / 2
LCM(55196,55206) = 3047150376 / 2
LCM(55196,55206) = 1523575188

Least Common Multiple (LCM) of 55196 and 55206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55196 and 55206. First we will calculate the prime factors of 55196 and 55206.

Prime Factorization of 55196

Prime factors of 55196 are 2, 13799. Prime factorization of 55196 in exponential form is:

55196 = 22 × 137991

Prime Factorization of 55206

Prime factors of 55206 are 2, 3, 3067. Prime factorization of 55206 in exponential form is:

55206 = 21 × 32 × 30671

Now multiplying the highest exponent prime factors to calculate the LCM of 55196 and 55206.

LCM(55196,55206) = 22 × 137991 × 32 × 30671
LCM(55196,55206) = 1523575188