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What is the Least Common Multiple of 32846 and 32851?

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 32846 and 32851 is 1079023946.

LCM(32846,32851) = 1079023946

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Least Common Multiple of 32846 and 32851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32846 and 32851, than apply into the LCM equation.

GCF(32846,32851) = 1
LCM(32846,32851) = ( 32846 × 32851) / 1
LCM(32846,32851) = 1079023946 / 1
LCM(32846,32851) = 1079023946

Least Common Multiple (LCM) of 32846 and 32851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32846 and 32851. First we will calculate the prime factors of 32846 and 32851.

Prime Factorization of 32846

Prime factors of 32846 are 2, 11, 1493. Prime factorization of 32846 in exponential form is:

32846 = 21 × 111 × 14931

Prime Factorization of 32851

Prime factors of 32851 are 7, 13, 19. Prime factorization of 32851 in exponential form is:

32851 = 71 × 131 × 192

Now multiplying the highest exponent prime factors to calculate the LCM of 32846 and 32851.

LCM(32846,32851) = 21 × 111 × 14931 × 71 × 131 × 192
LCM(32846,32851) = 1079023946