LCM for 22 and 23

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What's the Least Common Multiple (LCM) of 22 and 23?

Answer

LCM of 22 and 23 is
506

First common multiples: 506; 1,012; 1,518; …

506 is divisible by both: 506 ÷ 22 = 23, 506 ÷ 23 = 22 — and 23 and 22 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/22 by 23 and of y/23 by 22.

22 and 23 are coprime (GCF = 1), so their LCM is simply the product: 22 × 23 = 506.

22 = 2 × 11

23 — prime

Prime2223Highest power
22—2
1111—11
23—2323

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 2 × 11 × 23 = 506

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LCM Table

Number 1Number 2LCM
2223506
2224264
2225550
2226286
2228308
2229638
2230330
2232352
223366
2238418
224444
22471,034
22491,078
2250550
22511,122
2255110
2256616
22571,254
2258638
22591,298
228888
221052,310
22121242

FAQ

What's the Least Common Multiple (LCM) of 22 and 23?

LCM of 22 and 23 is 506

How to find the LCM of 22 and 23 using prime factorization?

To find the LCM of 22 and 23, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 506.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 22 and 23: LCM = 506, GCF = 1.

See Also