LCM for 10 and 41

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What's the Least Common Multiple (LCM) of 10 and 41?

Answer

LCM of 10 and 41 is
410

First common multiples: 410; 820; 1,230; …

410 is divisible by both: 410 ÷ 10 = 41, 410 ÷ 41 = 10 — and 41 and 10 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/10 by 41 and of y/41 by 10.

10 and 41 are coprime (GCF = 1), so their LCM is simply the product: 10 × 41 = 410.

10 = 2 × 5

41 — prime

Prime1041Highest power
22—2
55—5
41—4141

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

LCM = 2 × 5 × 41 = 410

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LCM Table

Number 1Number 2LCM
1019190
102020
1021210
1022110
1023230
1024120
102550
1027270
103030
1031310
1034170
103570
1036180
1038190
104040
1041410
1043430
1044220
104590
1046230
1048240
105050
1051510
1053530
1055110
1058290
1059590
106060
1065130
1066330

FAQ

What's the Least Common Multiple (LCM) of 10 and 41?

LCM of 10 and 41 is 410

How to find the LCM of 10 and 41 using prime factorization?

To find the LCM of 10 and 41, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 410.

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 10 and 41: LCM = 410, GCF = 1.

See Also