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What is the Least Common Multiple of 91956 and 91975?

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 91956 and 91975 is 8457653100.

LCM(91956,91975) = 8457653100

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Least Common Multiple of 91956 and 91975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91956 and 91975, than apply into the LCM equation.

GCF(91956,91975) = 1
LCM(91956,91975) = ( 91956 × 91975) / 1
LCM(91956,91975) = 8457653100 / 1
LCM(91956,91975) = 8457653100

Least Common Multiple (LCM) of 91956 and 91975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91956 and 91975. First we will calculate the prime factors of 91956 and 91975.

Prime Factorization of 91956

Prime factors of 91956 are 2, 3, 79, 97. Prime factorization of 91956 in exponential form is:

91956 = 22 × 31 × 791 × 971

Prime Factorization of 91975

Prime factors of 91975 are 5, 13, 283. Prime factorization of 91975 in exponential form is:

91975 = 52 × 131 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 91956 and 91975.

LCM(91956,91975) = 22 × 31 × 791 × 971 × 52 × 131 × 2831
LCM(91956,91975) = 8457653100