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What is the Least Common Multiple of 91047 and 91060?

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 91047 and 91060 is 8290739820.

LCM(91047,91060) = 8290739820

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Least Common Multiple of 91047 and 91060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91047 and 91060, than apply into the LCM equation.

GCF(91047,91060) = 1
LCM(91047,91060) = ( 91047 × 91060) / 1
LCM(91047,91060) = 8290739820 / 1
LCM(91047,91060) = 8290739820

Least Common Multiple (LCM) of 91047 and 91060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91047 and 91060. First we will calculate the prime factors of 91047 and 91060.

Prime Factorization of 91047

Prime factors of 91047 are 3, 11, 31, 89. Prime factorization of 91047 in exponential form is:

91047 = 31 × 111 × 311 × 891

Prime Factorization of 91060

Prime factors of 91060 are 2, 5, 29, 157. Prime factorization of 91060 in exponential form is:

91060 = 22 × 51 × 291 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 91047 and 91060.

LCM(91047,91060) = 31 × 111 × 311 × 891 × 22 × 51 × 291 × 1571
LCM(91047,91060) = 8290739820