LCM for 22 and 50

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What's the Least Common Multiple (LCM) of 22 and 50?

Answer

LCM of 22 and 50 is
550

First common multiples: 550; 1,100; 1,650; …

550 is divisible by both: 550 ÷ 22 = 25, 550 ÷ 50 = 11 — and 25 and 11 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/22 by 25 and of y/50 by 11.

22 = 2 × 11

50 = 2 × 52

Prime2250Highest power
2222
5—5252
1111—11

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

LCM = 2 × 52 × 11 = 550

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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 50?

LCM of 22 and 50 is 550

How to find the LCM of 22 and 50 using prime factorization?

To find the LCM of 22 and 50, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 550.

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 50: LCM = 550, GCF = 2.

See Also