What is the Least Common Multiple of 8264 and 8272?
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 8264 and 8272 is 8544976.
LCM(8264,8272) = 8544976
Least Common Multiple of 8264 and 8272 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8264 and 8272, than apply into the LCM equation.
GCF(8264,8272) = 8
LCM(8264,8272) = ( 8264 × 8272) / 8
LCM(8264,8272) = 68359808 / 8
LCM(8264,8272) = 8544976
Least Common Multiple (LCM) of 8264 and 8272 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8264 and 8272. First we will calculate the prime factors of 8264 and 8272.
Prime Factorization of 8264
Prime factors of 8264 are 2, 1033. Prime factorization of 8264 in exponential form is:
8264 = 23 × 10331
Prime Factorization of 8272
Prime factors of 8272 are 2, 11, 47. Prime factorization of 8272 in exponential form is:
8272 = 24 × 111 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 8264 and 8272.
LCM(8264,8272) = 24 × 10331 × 111 × 471
LCM(8264,8272) = 8544976
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