What is the Least Common Multiple of 91241 and 91261?
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 91241 and 91261 is 8326744901.
LCM(91241,91261) = 8326744901
Least Common Multiple of 91241 and 91261 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91241 and 91261, than apply into the LCM equation.
GCF(91241,91261) = 1
LCM(91241,91261) = ( 91241 × 91261) / 1
LCM(91241,91261) = 8326744901 / 1
LCM(91241,91261) = 8326744901
Least Common Multiple (LCM) of 91241 and 91261 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91241 and 91261. First we will calculate the prime factors of 91241 and 91261.
Prime Factorization of 91241
Prime factors of 91241 are 23, 3967. Prime factorization of 91241 in exponential form is:
91241 = 231 × 39671
Prime Factorization of 91261
Prime factors of 91261 are 263, 347. Prime factorization of 91261 in exponential form is:
91261 = 2631 × 3471
Now multiplying the highest exponent prime factors to calculate the LCM of 91241 and 91261.
LCM(91241,91261) = 231 × 39671 × 2631 × 3471
LCM(91241,91261) = 8326744901
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