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What is the Least Common Multiple of 55702 and 55722?

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 55702 and 55722 is 1551913422.

LCM(55702,55722) = 1551913422

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Least Common Multiple of 55702 and 55722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55702 and 55722, than apply into the LCM equation.

GCF(55702,55722) = 2
LCM(55702,55722) = ( 55702 × 55722) / 2
LCM(55702,55722) = 3103826844 / 2
LCM(55702,55722) = 1551913422

Least Common Multiple (LCM) of 55702 and 55722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55702 and 55722. First we will calculate the prime factors of 55702 and 55722.

Prime Factorization of 55702

Prime factors of 55702 are 2, 27851. Prime factorization of 55702 in exponential form is:

55702 = 21 × 278511

Prime Factorization of 55722

Prime factors of 55722 are 2, 3, 37, 251. Prime factorization of 55722 in exponential form is:

55722 = 21 × 31 × 371 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 55702 and 55722.

LCM(55702,55722) = 21 × 278511 × 31 × 371 × 2511
LCM(55702,55722) = 1551913422