What is the Least Common Multiple of 91392 and 91400?
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 91392 and 91400 is 1044153600.
LCM(91392,91400) = 1044153600
Least Common Multiple of 91392 and 91400 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91392 and 91400, than apply into the LCM equation.
GCF(91392,91400) = 8
LCM(91392,91400) = ( 91392 × 91400) / 8
LCM(91392,91400) = 8353228800 / 8
LCM(91392,91400) = 1044153600
Least Common Multiple (LCM) of 91392 and 91400 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91392 and 91400. First we will calculate the prime factors of 91392 and 91400.
Prime Factorization of 91392
Prime factors of 91392 are 2, 3, 7, 17. Prime factorization of 91392 in exponential form is:
91392 = 28 × 31 × 71 × 171
Prime Factorization of 91400
Prime factors of 91400 are 2, 5, 457. Prime factorization of 91400 in exponential form is:
91400 = 23 × 52 × 4571
Now multiplying the highest exponent prime factors to calculate the LCM of 91392 and 91400.
LCM(91392,91400) = 28 × 31 × 71 × 171 × 52 × 4571
LCM(91392,91400) = 1044153600
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