What is the Least Common Multiple of 23352 and 23362?
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 23352 and 23362 is 272774712.
LCM(23352,23362) = 272774712
Least Common Multiple of 23352 and 23362 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23352 and 23362, than apply into the LCM equation.
GCF(23352,23362) = 2
LCM(23352,23362) = ( 23352 × 23362) / 2
LCM(23352,23362) = 545549424 / 2
LCM(23352,23362) = 272774712
Least Common Multiple (LCM) of 23352 and 23362 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23352 and 23362. First we will calculate the prime factors of 23352 and 23362.
Prime Factorization of 23352
Prime factors of 23352 are 2, 3, 7, 139. Prime factorization of 23352 in exponential form is:
23352 = 23 × 31 × 71 × 1391
Prime Factorization of 23362
Prime factors of 23362 are 2, 11681. Prime factorization of 23362 in exponential form is:
23362 = 21 × 116811
Now multiplying the highest exponent prime factors to calculate the LCM of 23352 and 23362.
LCM(23352,23362) = 23 × 31 × 71 × 1391 × 116811
LCM(23352,23362) = 272774712
Related Least Common Multiples of 23352
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Related Least Common Multiples of 23362
- LCM of 23362 and 23366
- LCM of 23362 and 23367
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