LCM for 10 and 51

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What's the Least Common Multiple (LCM) of 10 and 51?

Answer

LCM of 10 and 51 is
510

First common multiples: 510; 1,020; 1,530; …

510 is divisible by both: 510 ÷ 10 = 51, 510 ÷ 51 = 10 — and 51 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 51 and of y/51 by 10.

10 and 51 are coprime (GCF = 1), so their LCM is simply the product: 10 × 51 = 510.

10 = 2 × 5

51 = 3 × 17

Prime1051Highest power
22—2
3—33
55—5
17—1717

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

LCM = 2 × 3 × 5 × 17 = 510

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LCM Table

Number 1Number 2LCM
1027270
103030
1031310
1034170
103570
1036180
1038190
104040
1041410
1043430
1044220
104590
1046230
1048240
105050
1051510
1053530
1055110
1058290
1059590
106060
1065130
1066330
107070
1075150
108080
109090
1095190
1099990
10100100

FAQ

What's the Least Common Multiple (LCM) of 10 and 51?

LCM of 10 and 51 is 510

How to find the LCM of 10 and 51 using prime factorization?

To find the LCM of 10 and 51, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 510.

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 51: LCM = 510, GCF = 1.

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