What is the Least Common Multiple of 264 and 268?
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 264 and 268 is 17688.
LCM(264,268) = 17688
Least Common Multiple of 264 and 268 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 264 and 268, than apply into the LCM equation.
GCF(264,268) = 4
LCM(264,268) = ( 264 × 268) / 4
LCM(264,268) = 70752 / 4
LCM(264,268) = 17688
Least Common Multiple (LCM) of 264 and 268 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 264 and 268. First we will calculate the prime factors of 264 and 268.
Prime Factorization of 264
Prime factors of 264 are 2, 3, 11. Prime factorization of 264 in exponential form is:
264 = 23 × 31 × 111
Prime Factorization of 268
Prime factors of 268 are 2, 67. Prime factorization of 268 in exponential form is:
268 = 22 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 264 and 268.
LCM(264,268) = 23 × 31 × 111 × 671
LCM(264,268) = 17688
Related Least Common Multiples of 264
- LCM of 264 and 268
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Related Least Common Multiples of 268
- LCM of 268 and 272
- LCM of 268 and 273
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