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What is the Least Common Multiple of 39767 and 39778?

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 39767 and 39778 is 1581851726.

LCM(39767,39778) = 1581851726

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Least Common Multiple of 39767 and 39778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39767 and 39778, than apply into the LCM equation.

GCF(39767,39778) = 1
LCM(39767,39778) = ( 39767 × 39778) / 1
LCM(39767,39778) = 1581851726 / 1
LCM(39767,39778) = 1581851726

Least Common Multiple (LCM) of 39767 and 39778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39767 and 39778. First we will calculate the prime factors of 39767 and 39778.

Prime Factorization of 39767

Prime factors of 39767 are 7, 13, 19, 23. Prime factorization of 39767 in exponential form is:

39767 = 71 × 131 × 191 × 231

Prime Factorization of 39778

Prime factors of 39778 are 2, 19889. Prime factorization of 39778 in exponential form is:

39778 = 21 × 198891

Now multiplying the highest exponent prime factors to calculate the LCM of 39767 and 39778.

LCM(39767,39778) = 71 × 131 × 191 × 231 × 21 × 198891
LCM(39767,39778) = 1581851726