What is the Least Common Multiple of 91227 and 91244?
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 91227 and 91244 is 8323916388.
LCM(91227,91244) = 8323916388
Least Common Multiple of 91227 and 91244 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91227 and 91244, than apply into the LCM equation.
GCF(91227,91244) = 1
LCM(91227,91244) = ( 91227 × 91244) / 1
LCM(91227,91244) = 8323916388 / 1
LCM(91227,91244) = 8323916388
Least Common Multiple (LCM) of 91227 and 91244 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91227 and 91244. First we will calculate the prime factors of 91227 and 91244.
Prime Factorization of 91227
Prime factors of 91227 are 3, 47, 647. Prime factorization of 91227 in exponential form is:
91227 = 31 × 471 × 6471
Prime Factorization of 91244
Prime factors of 91244 are 2, 22811. Prime factorization of 91244 in exponential form is:
91244 = 22 × 228111
Now multiplying the highest exponent prime factors to calculate the LCM of 91227 and 91244.
LCM(91227,91244) = 31 × 471 × 6471 × 22 × 228111
LCM(91227,91244) = 8323916388
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