What is the Least Common Multiple of 91087 and 91097?
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 91087 and 91097 is 8297752439.
LCM(91087,91097) = 8297752439
Least Common Multiple of 91087 and 91097 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91087 and 91097, than apply into the LCM equation.
GCF(91087,91097) = 1
LCM(91087,91097) = ( 91087 × 91097) / 1
LCM(91087,91097) = 8297752439 / 1
LCM(91087,91097) = 8297752439
Least Common Multiple (LCM) of 91087 and 91097 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91087 and 91097. First we will calculate the prime factors of 91087 and 91097.
Prime Factorization of 91087
Prime factors of 91087 are 79, 1153. Prime factorization of 91087 in exponential form is:
91087 = 791 × 11531
Prime Factorization of 91097
Prime factors of 91097 are 91097. Prime factorization of 91097 in exponential form is:
91097 = 910971
Now multiplying the highest exponent prime factors to calculate the LCM of 91087 and 91097.
LCM(91087,91097) = 791 × 11531 × 910971
LCM(91087,91097) = 8297752439
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