What is the Least Common Multiple of 91054 and 91069?
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 91054 and 91069 is 8292196726.
LCM(91054,91069) = 8292196726
Least Common Multiple of 91054 and 91069 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91054 and 91069, than apply into the LCM equation.
GCF(91054,91069) = 1
LCM(91054,91069) = ( 91054 × 91069) / 1
LCM(91054,91069) = 8292196726 / 1
LCM(91054,91069) = 8292196726
Least Common Multiple (LCM) of 91054 and 91069 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91054 and 91069. First we will calculate the prime factors of 91054 and 91069.
Prime Factorization of 91054
Prime factors of 91054 are 2, 53, 859. Prime factorization of 91054 in exponential form is:
91054 = 21 × 531 × 8591
Prime Factorization of 91069
Prime factors of 91069 are 11, 17, 487. Prime factorization of 91069 in exponential form is:
91069 = 111 × 171 × 4871
Now multiplying the highest exponent prime factors to calculate the LCM of 91054 and 91069.
LCM(91054,91069) = 21 × 531 × 8591 × 111 × 171 × 4871
LCM(91054,91069) = 8292196726
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