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What is the Least Common Multiple of 55123 and 55132?

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 55123 and 55132 is 3039041236.

LCM(55123,55132) = 3039041236

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Least Common Multiple of 55123 and 55132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55123 and 55132, than apply into the LCM equation.

GCF(55123,55132) = 1
LCM(55123,55132) = ( 55123 × 55132) / 1
LCM(55123,55132) = 3039041236 / 1
LCM(55123,55132) = 3039041236

Least Common Multiple (LCM) of 55123 and 55132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55123 and 55132. First we will calculate the prime factors of 55123 and 55132.

Prime Factorization of 55123

Prime factors of 55123 are 199, 277. Prime factorization of 55123 in exponential form is:

55123 = 1991 × 2771

Prime Factorization of 55132

Prime factors of 55132 are 2, 7, 11, 179. Prime factorization of 55132 in exponential form is:

55132 = 22 × 71 × 111 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 55123 and 55132.

LCM(55123,55132) = 1991 × 2771 × 22 × 71 × 111 × 1791
LCM(55123,55132) = 3039041236