LCM for 10 and 40

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What's the Least Common Multiple (LCM) of 10 and 40?

Answer

LCM of 10 and 40 is
40

First common multiples: 40, 80, 120, …

As a common denominator: multiply the top and bottom of x/10 by 4.

10 divides 40 (40 ÷ 10 = 4), so the LCM is the larger number itself.

10 = 2 × 5

40 = 23 × 5

Prime1040Highest power
222323
5555

LCM = 23 × 5 = 40

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LCM Table

Number 1Number 2LCM
101890
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

FAQ

What's the Least Common Multiple (LCM) of 10 and 40?

LCM of 10 and 40 is 40

How to find the LCM of 10 and 40 using prime factorization?

To find the LCM of 10 and 40, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 40.

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 40: LCM = 40, GCF = 10.

See Also