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What is the Least Common Multiple of 55153 and 55160?

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 55153 and 55160 is 434605640.

LCM(55153,55160) = 434605640

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Least Common Multiple of 55153 and 55160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55153 and 55160, than apply into the LCM equation.

GCF(55153,55160) = 7
LCM(55153,55160) = ( 55153 × 55160) / 7
LCM(55153,55160) = 3042239480 / 7
LCM(55153,55160) = 434605640

Least Common Multiple (LCM) of 55153 and 55160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55153 and 55160. First we will calculate the prime factors of 55153 and 55160.

Prime Factorization of 55153

Prime factors of 55153 are 7, 7879. Prime factorization of 55153 in exponential form is:

55153 = 71 × 78791

Prime Factorization of 55160

Prime factors of 55160 are 2, 5, 7, 197. Prime factorization of 55160 in exponential form is:

55160 = 23 × 51 × 71 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 55153 and 55160.

LCM(55153,55160) = 71 × 78791 × 23 × 51 × 1971
LCM(55153,55160) = 434605640