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What is the Least Common Multiple of 55160 and 55164?

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 55160 and 55164 is 760711560.

LCM(55160,55164) = 760711560

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Least Common Multiple of 55160 and 55164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55160 and 55164, than apply into the LCM equation.

GCF(55160,55164) = 4
LCM(55160,55164) = ( 55160 × 55164) / 4
LCM(55160,55164) = 3042846240 / 4
LCM(55160,55164) = 760711560

Least Common Multiple (LCM) of 55160 and 55164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55160 and 55164. First we will calculate the prime factors of 55160 and 55164.

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

Prime Factorization of 55164

Prime factors of 55164 are 2, 3, 4597. Prime factorization of 55164 in exponential form is:

55164 = 22 × 31 × 45971

Now multiplying the highest exponent prime factors to calculate the LCM of 55160 and 55164.

LCM(55160,55164) = 23 × 51 × 71 × 1971 × 31 × 45971
LCM(55160,55164) = 760711560