What is the Least Common Multiple of 45264 and 45268?
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 45264 and 45268 is 512252688.
LCM(45264,45268) = 512252688
Least Common Multiple of 45264 and 45268 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45264 and 45268, than apply into the LCM equation.
GCF(45264,45268) = 4
LCM(45264,45268) = ( 45264 × 45268) / 4
LCM(45264,45268) = 2049010752 / 4
LCM(45264,45268) = 512252688
Least Common Multiple (LCM) of 45264 and 45268 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 45264 and 45268. First we will calculate the prime factors of 45264 and 45268.
Prime Factorization of 45264
Prime factors of 45264 are 2, 3, 23, 41. Prime factorization of 45264 in exponential form is:
45264 = 24 × 31 × 231 × 411
Prime Factorization of 45268
Prime factors of 45268 are 2, 11317. Prime factorization of 45268 in exponential form is:
45268 = 22 × 113171
Now multiplying the highest exponent prime factors to calculate the LCM of 45264 and 45268.
LCM(45264,45268) = 24 × 31 × 231 × 411 × 113171
LCM(45264,45268) = 512252688
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