What is the Least Common Multiple of 91057 and 91062?
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 91057 and 91062 is 8291832534.
LCM(91057,91062) = 8291832534
Least Common Multiple of 91057 and 91062 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91057 and 91062, than apply into the LCM equation.
GCF(91057,91062) = 1
LCM(91057,91062) = ( 91057 × 91062) / 1
LCM(91057,91062) = 8291832534 / 1
LCM(91057,91062) = 8291832534
Least Common Multiple (LCM) of 91057 and 91062 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91057 and 91062. First we will calculate the prime factors of 91057 and 91062.
Prime Factorization of 91057
Prime factors of 91057 are 23, 37, 107. Prime factorization of 91057 in exponential form is:
91057 = 231 × 371 × 1071
Prime Factorization of 91062
Prime factors of 91062 are 2, 3, 5059. Prime factorization of 91062 in exponential form is:
91062 = 21 × 32 × 50591
Now multiplying the highest exponent prime factors to calculate the LCM of 91057 and 91062.
LCM(91057,91062) = 231 × 371 × 1071 × 21 × 32 × 50591
LCM(91057,91062) = 8291832534
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