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What is the Least Common Multiple of 91030 and 91041?

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 91030 and 91041 is 8287462230.

LCM(91030,91041) = 8287462230

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Least Common Multiple of 91030 and 91041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91030 and 91041, than apply into the LCM equation.

GCF(91030,91041) = 1
LCM(91030,91041) = ( 91030 × 91041) / 1
LCM(91030,91041) = 8287462230 / 1
LCM(91030,91041) = 8287462230

Least Common Multiple (LCM) of 91030 and 91041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91030 and 91041. First we will calculate the prime factors of 91030 and 91041.

Prime Factorization of 91030

Prime factors of 91030 are 2, 5, 9103. Prime factorization of 91030 in exponential form is:

91030 = 21 × 51 × 91031

Prime Factorization of 91041

Prime factors of 91041 are 3, 30347. Prime factorization of 91041 in exponential form is:

91041 = 31 × 303471

Now multiplying the highest exponent prime factors to calculate the LCM of 91030 and 91041.

LCM(91030,91041) = 21 × 51 × 91031 × 31 × 303471
LCM(91030,91041) = 8287462230