What is the Least Common Multiple of 91061 and 91070?
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 91061 and 91070 is 8292925270.
LCM(91061,91070) = 8292925270
Least Common Multiple of 91061 and 91070 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91061 and 91070, than apply into the LCM equation.
GCF(91061,91070) = 1
LCM(91061,91070) = ( 91061 × 91070) / 1
LCM(91061,91070) = 8292925270 / 1
LCM(91061,91070) = 8292925270
Least Common Multiple (LCM) of 91061 and 91070 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91061 and 91070. First we will calculate the prime factors of 91061 and 91070.
Prime Factorization of 91061
Prime factors of 91061 are 41, 2221. Prime factorization of 91061 in exponential form is:
91061 = 411 × 22211
Prime Factorization of 91070
Prime factors of 91070 are 2, 5, 7, 1301. Prime factorization of 91070 in exponential form is:
91070 = 21 × 51 × 71 × 13011
Now multiplying the highest exponent prime factors to calculate the LCM of 91061 and 91070.
LCM(91061,91070) = 411 × 22211 × 21 × 51 × 71 × 13011
LCM(91061,91070) = 8292925270
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