What is the Least Common Multiple of 91436 and 91456?
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 91436 and 91456 is 2090592704.
LCM(91436,91456) = 2090592704
Least Common Multiple of 91436 and 91456 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91436 and 91456, than apply into the LCM equation.
GCF(91436,91456) = 4
LCM(91436,91456) = ( 91436 × 91456) / 4
LCM(91436,91456) = 8362370816 / 4
LCM(91436,91456) = 2090592704
Least Common Multiple (LCM) of 91436 and 91456 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91436 and 91456. First we will calculate the prime factors of 91436 and 91456.
Prime Factorization of 91436
Prime factors of 91436 are 2, 22859. Prime factorization of 91436 in exponential form is:
91436 = 22 × 228591
Prime Factorization of 91456
Prime factors of 91456 are 2, 1429. Prime factorization of 91456 in exponential form is:
91456 = 26 × 14291
Now multiplying the highest exponent prime factors to calculate the LCM of 91436 and 91456.
LCM(91436,91456) = 26 × 228591 × 14291
LCM(91436,91456) = 2090592704
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