What is the Least Common Multiple of 91060 and 91064?
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 91060 and 91064 is 2073071960.
LCM(91060,91064) = 2073071960
Least Common Multiple of 91060 and 91064 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91060 and 91064, than apply into the LCM equation.
GCF(91060,91064) = 4
LCM(91060,91064) = ( 91060 × 91064) / 4
LCM(91060,91064) = 8292287840 / 4
LCM(91060,91064) = 2073071960
Least Common Multiple (LCM) of 91060 and 91064 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91060 and 91064. First we will calculate the prime factors of 91060 and 91064.
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
Prime Factorization of 91064
Prime factors of 91064 are 2, 11383. Prime factorization of 91064 in exponential form is:
91064 = 23 × 113831
Now multiplying the highest exponent prime factors to calculate the LCM of 91060 and 91064.
LCM(91060,91064) = 23 × 51 × 291 × 1571 × 113831
LCM(91060,91064) = 2073071960
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