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What is the Least Common Multiple of 54162 and 54170?

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 54162 and 54170 is 1466977770.

LCM(54162,54170) = 1466977770

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Least Common Multiple of 54162 and 54170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54162 and 54170, than apply into the LCM equation.

GCF(54162,54170) = 2
LCM(54162,54170) = ( 54162 × 54170) / 2
LCM(54162,54170) = 2933955540 / 2
LCM(54162,54170) = 1466977770

Least Common Multiple (LCM) of 54162 and 54170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54162 and 54170. First we will calculate the prime factors of 54162 and 54170.

Prime Factorization of 54162

Prime factors of 54162 are 2, 3, 17, 59. Prime factorization of 54162 in exponential form is:

54162 = 21 × 33 × 171 × 591

Prime Factorization of 54170

Prime factors of 54170 are 2, 5, 5417. Prime factorization of 54170 in exponential form is:

54170 = 21 × 51 × 54171

Now multiplying the highest exponent prime factors to calculate the LCM of 54162 and 54170.

LCM(54162,54170) = 21 × 33 × 171 × 591 × 51 × 54171
LCM(54162,54170) = 1466977770