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What is the Least Common Multiple of 86152 and 86162?

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 86152 and 86162 is 3711514312.

LCM(86152,86162) = 3711514312

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Least Common Multiple of 86152 and 86162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86152 and 86162, than apply into the LCM equation.

GCF(86152,86162) = 2
LCM(86152,86162) = ( 86152 × 86162) / 2
LCM(86152,86162) = 7423028624 / 2
LCM(86152,86162) = 3711514312

Least Common Multiple (LCM) of 86152 and 86162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86152 and 86162. First we will calculate the prime factors of 86152 and 86162.

Prime Factorization of 86152

Prime factors of 86152 are 2, 11, 89. Prime factorization of 86152 in exponential form is:

86152 = 23 × 112 × 891

Prime Factorization of 86162

Prime factors of 86162 are 2, 67, 643. Prime factorization of 86162 in exponential form is:

86162 = 21 × 671 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 86152 and 86162.

LCM(86152,86162) = 23 × 112 × 891 × 671 × 6431
LCM(86152,86162) = 3711514312