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What is the Least Common Multiple of 94162 and 94170?

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 94162 and 94170 is 4433617770.

LCM(94162,94170) = 4433617770

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Least Common Multiple of 94162 and 94170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94162 and 94170, than apply into the LCM equation.

GCF(94162,94170) = 2
LCM(94162,94170) = ( 94162 × 94170) / 2
LCM(94162,94170) = 8867235540 / 2
LCM(94162,94170) = 4433617770

Least Common Multiple (LCM) of 94162 and 94170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94162 and 94170. First we will calculate the prime factors of 94162 and 94170.

Prime Factorization of 94162

Prime factors of 94162 are 2, 23, 89. Prime factorization of 94162 in exponential form is:

94162 = 21 × 232 × 891

Prime Factorization of 94170

Prime factors of 94170 are 2, 3, 5, 43, 73. Prime factorization of 94170 in exponential form is:

94170 = 21 × 31 × 51 × 431 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 94162 and 94170.

LCM(94162,94170) = 21 × 232 × 891 × 31 × 51 × 431 × 731
LCM(94162,94170) = 4433617770