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What is the Least Common Multiple of 91884 and 91898?

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 91884 and 91898 is 4221977916.

LCM(91884,91898) = 4221977916

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Least Common Multiple of 91884 and 91898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91884 and 91898, than apply into the LCM equation.

GCF(91884,91898) = 2
LCM(91884,91898) = ( 91884 × 91898) / 2
LCM(91884,91898) = 8443955832 / 2
LCM(91884,91898) = 4221977916

Least Common Multiple (LCM) of 91884 and 91898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91884 and 91898. First we will calculate the prime factors of 91884 and 91898.

Prime Factorization of 91884

Prime factors of 91884 are 2, 3, 13, 19, 31. Prime factorization of 91884 in exponential form is:

91884 = 22 × 31 × 131 × 191 × 311

Prime Factorization of 91898

Prime factors of 91898 are 2, 45949. Prime factorization of 91898 in exponential form is:

91898 = 21 × 459491

Now multiplying the highest exponent prime factors to calculate the LCM of 91884 and 91898.

LCM(91884,91898) = 22 × 31 × 131 × 191 × 311 × 459491
LCM(91884,91898) = 4221977916