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What is the Least Common Multiple of 92846 and 92862?

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 92846 and 92862 is 4310932626.

LCM(92846,92862) = 4310932626

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Least Common Multiple of 92846 and 92862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92846 and 92862, than apply into the LCM equation.

GCF(92846,92862) = 2
LCM(92846,92862) = ( 92846 × 92862) / 2
LCM(92846,92862) = 8621865252 / 2
LCM(92846,92862) = 4310932626

Least Common Multiple (LCM) of 92846 and 92862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92846 and 92862. First we will calculate the prime factors of 92846 and 92862.

Prime Factorization of 92846

Prime factors of 92846 are 2, 13, 3571. Prime factorization of 92846 in exponential form is:

92846 = 21 × 131 × 35711

Prime Factorization of 92862

Prime factors of 92862 are 2, 3, 7, 11, 67. Prime factorization of 92862 in exponential form is:

92862 = 21 × 32 × 71 × 111 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 92846 and 92862.

LCM(92846,92862) = 21 × 131 × 35711 × 32 × 71 × 111 × 671
LCM(92846,92862) = 4310932626