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What is the Least Common Multiple of 87943 and 87963?

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 87943 and 87963 is 7735730109.

LCM(87943,87963) = 7735730109

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Least Common Multiple of 87943 and 87963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87943 and 87963, than apply into the LCM equation.

GCF(87943,87963) = 1
LCM(87943,87963) = ( 87943 × 87963) / 1
LCM(87943,87963) = 7735730109 / 1
LCM(87943,87963) = 7735730109

Least Common Multiple (LCM) of 87943 and 87963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87943 and 87963. First we will calculate the prime factors of 87943 and 87963.

Prime Factorization of 87943

Prime factors of 87943 are 87943. Prime factorization of 87943 in exponential form is:

87943 = 879431

Prime Factorization of 87963

Prime factors of 87963 are 3, 109, 269. Prime factorization of 87963 in exponential form is:

87963 = 31 × 1091 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 87943 and 87963.

LCM(87943,87963) = 879431 × 31 × 1091 × 2691
LCM(87943,87963) = 7735730109