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What is the Least Common Multiple of 91952 and 91969?

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 91952 and 91969 is 8456733488.

LCM(91952,91969) = 8456733488

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Least Common Multiple of 91952 and 91969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91952 and 91969, than apply into the LCM equation.

GCF(91952,91969) = 1
LCM(91952,91969) = ( 91952 × 91969) / 1
LCM(91952,91969) = 8456733488 / 1
LCM(91952,91969) = 8456733488

Least Common Multiple (LCM) of 91952 and 91969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91952 and 91969. First we will calculate the prime factors of 91952 and 91969.

Prime Factorization of 91952

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

91952 = 24 × 71 × 8211

Prime Factorization of 91969

Prime factors of 91969 are 91969. Prime factorization of 91969 in exponential form is:

91969 = 919691

Now multiplying the highest exponent prime factors to calculate the LCM of 91952 and 91969.

LCM(91952,91969) = 24 × 71 × 8211 × 919691
LCM(91952,91969) = 8456733488