What is the Least Common Multiple of 91262 and 91277?
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 91262 and 91277 is 8330121574.
LCM(91262,91277) = 8330121574
Least Common Multiple of 91262 and 91277 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91262 and 91277, than apply into the LCM equation.
GCF(91262,91277) = 1
LCM(91262,91277) = ( 91262 × 91277) / 1
LCM(91262,91277) = 8330121574 / 1
LCM(91262,91277) = 8330121574
Least Common Multiple (LCM) of 91262 and 91277 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91262 and 91277. First we will calculate the prime factors of 91262 and 91277.
Prime Factorization of 91262
Prime factors of 91262 are 2, 45631. Prime factorization of 91262 in exponential form is:
91262 = 21 × 456311
Prime Factorization of 91277
Prime factors of 91277 are 97, 941. Prime factorization of 91277 in exponential form is:
91277 = 971 × 9411
Now multiplying the highest exponent prime factors to calculate the LCM of 91262 and 91277.
LCM(91262,91277) = 21 × 456311 × 971 × 9411
LCM(91262,91277) = 8330121574
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