What is the Least Common Multiple of 91253 and 91262?
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 91253 and 91262 is 8327931286.
LCM(91253,91262) = 8327931286
Least Common Multiple of 91253 and 91262 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91253 and 91262, than apply into the LCM equation.
GCF(91253,91262) = 1
LCM(91253,91262) = ( 91253 × 91262) / 1
LCM(91253,91262) = 8327931286 / 1
LCM(91253,91262) = 8327931286
Least Common Multiple (LCM) of 91253 and 91262 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91253 and 91262. First we will calculate the prime factors of 91253 and 91262.
Prime Factorization of 91253
Prime factors of 91253 are 91253. Prime factorization of 91253 in exponential form is:
91253 = 912531
Prime Factorization of 91262
Prime factors of 91262 are 2, 45631. Prime factorization of 91262 in exponential form is:
91262 = 21 × 456311
Now multiplying the highest exponent prime factors to calculate the LCM of 91253 and 91262.
LCM(91253,91262) = 912531 × 21 × 456311
LCM(91253,91262) = 8327931286
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