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What is the Least Common Multiple of 91971 and 91988?

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 91971 and 91988 is 8460228348.

LCM(91971,91988) = 8460228348

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Least Common Multiple of 91971 and 91988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91971 and 91988, than apply into the LCM equation.

GCF(91971,91988) = 1
LCM(91971,91988) = ( 91971 × 91988) / 1
LCM(91971,91988) = 8460228348 / 1
LCM(91971,91988) = 8460228348

Least Common Multiple (LCM) of 91971 and 91988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91971 and 91988. First we will calculate the prime factors of 91971 and 91988.

Prime Factorization of 91971

Prime factors of 91971 are 3, 11, 929. Prime factorization of 91971 in exponential form is:

91971 = 32 × 111 × 9291

Prime Factorization of 91988

Prime factors of 91988 are 2, 13, 29, 61. Prime factorization of 91988 in exponential form is:

91988 = 22 × 131 × 291 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 91971 and 91988.

LCM(91971,91988) = 32 × 111 × 9291 × 22 × 131 × 291 × 611
LCM(91971,91988) = 8460228348