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What is the Least Common Multiple of 80146 and 80156?

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 80146 and 80156 is 3212091388.

LCM(80146,80156) = 3212091388

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Least Common Multiple of 80146 and 80156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80146 and 80156, than apply into the LCM equation.

GCF(80146,80156) = 2
LCM(80146,80156) = ( 80146 × 80156) / 2
LCM(80146,80156) = 6424182776 / 2
LCM(80146,80156) = 3212091388

Least Common Multiple (LCM) of 80146 and 80156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80146 and 80156. First we will calculate the prime factors of 80146 and 80156.

Prime Factorization of 80146

Prime factors of 80146 are 2, 11, 3643. Prime factorization of 80146 in exponential form is:

80146 = 21 × 111 × 36431

Prime Factorization of 80156

Prime factors of 80156 are 2, 29, 691. Prime factorization of 80156 in exponential form is:

80156 = 22 × 291 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 80146 and 80156.

LCM(80146,80156) = 22 × 111 × 36431 × 291 × 6911
LCM(80146,80156) = 3212091388