What is the Least Common Multiple of 22716 and 22722?
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 22716 and 22722 is 86025492.
LCM(22716,22722) = 86025492
Least Common Multiple of 22716 and 22722 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22716 and 22722, than apply into the LCM equation.
GCF(22716,22722) = 6
LCM(22716,22722) = ( 22716 × 22722) / 6
LCM(22716,22722) = 516152952 / 6
LCM(22716,22722) = 86025492
Least Common Multiple (LCM) of 22716 and 22722 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22716 and 22722. First we will calculate the prime factors of 22716 and 22722.
Prime Factorization of 22716
Prime factors of 22716 are 2, 3, 631. Prime factorization of 22716 in exponential form is:
22716 = 22 × 32 × 6311
Prime Factorization of 22722
Prime factors of 22722 are 2, 3, 7, 541. Prime factorization of 22722 in exponential form is:
22722 = 21 × 31 × 71 × 5411
Now multiplying the highest exponent prime factors to calculate the LCM of 22716 and 22722.
LCM(22716,22722) = 22 × 32 × 6311 × 71 × 5411
LCM(22716,22722) = 86025492
Related Least Common Multiples of 22716
- LCM of 22716 and 22720
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- LCM of 22716 and 22722
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- LCM of 22716 and 22725
- LCM of 22716 and 22726
- LCM of 22716 and 22727
- LCM of 22716 and 22728
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- LCM of 22716 and 22732
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Related Least Common Multiples of 22722
- LCM of 22722 and 22726
- LCM of 22722 and 22727
- LCM of 22722 and 22728
- LCM of 22722 and 22729
- LCM of 22722 and 22730
- LCM of 22722 and 22731
- LCM of 22722 and 22732
- LCM of 22722 and 22733
- LCM of 22722 and 22734
- LCM of 22722 and 22735
- LCM of 22722 and 22736
- LCM of 22722 and 22737
- LCM of 22722 and 22738
- LCM of 22722 and 22739
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