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What is the Least Common Multiple of 7878 and 7897?

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 7878 and 7897 is 62212566.

LCM(7878,7897) = 62212566

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Least Common Multiple of 7878 and 7897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7878 and 7897, than apply into the LCM equation.

GCF(7878,7897) = 1
LCM(7878,7897) = ( 7878 × 7897) / 1
LCM(7878,7897) = 62212566 / 1
LCM(7878,7897) = 62212566

Least Common Multiple (LCM) of 7878 and 7897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7878 and 7897. First we will calculate the prime factors of 7878 and 7897.

Prime Factorization of 7878

Prime factors of 7878 are 2, 3, 13, 101. Prime factorization of 7878 in exponential form is:

7878 = 21 × 31 × 131 × 1011

Prime Factorization of 7897

Prime factors of 7897 are 53, 149. Prime factorization of 7897 in exponential form is:

7897 = 531 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 7878 and 7897.

LCM(7878,7897) = 21 × 31 × 131 × 1011 × 531 × 1491
LCM(7878,7897) = 62212566