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What is the Least Common Multiple of 91956 and 91973?

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 91973 is 8457469188.

LCM(91956,91973) = 8457469188

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Least Common Multiple of 91956 and 91973 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 91973, than apply into the LCM equation.

GCF(91956,91973) = 1
LCM(91956,91973) = ( 91956 × 91973) / 1
LCM(91956,91973) = 8457469188 / 1
LCM(91956,91973) = 8457469188

Least Common Multiple (LCM) of 91956 and 91973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91956 and 91973. First we will calculate the prime factors of 91956 and 91973.

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 91973

Prime factors of 91973 are 7, 1877. Prime factorization of 91973 in exponential form is:

91973 = 72 × 18771

Now multiplying the highest exponent prime factors to calculate the LCM of 91956 and 91973.

LCM(91956,91973) = 22 × 31 × 791 × 971 × 72 × 18771
LCM(91956,91973) = 8457469188