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What is the Least Common Multiple of 81650 and 81662?

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 81650 and 81662 is 3333851150.

LCM(81650,81662) = 3333851150

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Least Common Multiple of 81650 and 81662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81650 and 81662, than apply into the LCM equation.

GCF(81650,81662) = 2
LCM(81650,81662) = ( 81650 × 81662) / 2
LCM(81650,81662) = 6667702300 / 2
LCM(81650,81662) = 3333851150

Least Common Multiple (LCM) of 81650 and 81662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81650 and 81662. First we will calculate the prime factors of 81650 and 81662.

Prime Factorization of 81650

Prime factors of 81650 are 2, 5, 23, 71. Prime factorization of 81650 in exponential form is:

81650 = 21 × 52 × 231 × 711

Prime Factorization of 81662

Prime factors of 81662 are 2, 7, 19, 307. Prime factorization of 81662 in exponential form is:

81662 = 21 × 71 × 191 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 81650 and 81662.

LCM(81650,81662) = 21 × 52 × 231 × 711 × 71 × 191 × 3071
LCM(81650,81662) = 3333851150