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What is the Least Common Multiple of 91943 and 91952?

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 91943 and 91952 is 8454342736.

LCM(91943,91952) = 8454342736

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Least Common Multiple of 91943 and 91952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91943 and 91952, than apply into the LCM equation.

GCF(91943,91952) = 1
LCM(91943,91952) = ( 91943 × 91952) / 1
LCM(91943,91952) = 8454342736 / 1
LCM(91943,91952) = 8454342736

Least Common Multiple (LCM) of 91943 and 91952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91943 and 91952. First we will calculate the prime factors of 91943 and 91952.

Prime Factorization of 91943

Prime factors of 91943 are 91943. Prime factorization of 91943 in exponential form is:

91943 = 919431

Prime Factorization of 91952

Prime factors of 91952 are 2, 7, 821. Prime factorization of 91952 in exponential form is:

91952 = 24 × 71 × 8211

Now multiplying the highest exponent prime factors to calculate the LCM of 91943 and 91952.

LCM(91943,91952) = 919431 × 24 × 71 × 8211
LCM(91943,91952) = 8454342736