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
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
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