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What is the Least Common Multiple of 91978 and 91998?

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 91978 and 91998 is 4230896022.

LCM(91978,91998) = 4230896022

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Least Common Multiple of 91978 and 91998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91978 and 91998, than apply into the LCM equation.

GCF(91978,91998) = 2
LCM(91978,91998) = ( 91978 × 91998) / 2
LCM(91978,91998) = 8461792044 / 2
LCM(91978,91998) = 4230896022

Least Common Multiple (LCM) of 91978 and 91998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91978 and 91998. First we will calculate the prime factors of 91978 and 91998.

Prime Factorization of 91978

Prime factors of 91978 are 2, 45989. Prime factorization of 91978 in exponential form is:

91978 = 21 × 459891

Prime Factorization of 91998

Prime factors of 91998 are 2, 3, 19, 269. Prime factorization of 91998 in exponential form is:

91998 = 21 × 32 × 191 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 91978 and 91998.

LCM(91978,91998) = 21 × 459891 × 32 × 191 × 2691
LCM(91978,91998) = 4230896022