LCM for 50 and 260

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What's the Least Common Multiple (LCM) of 50 and 260?

Answer

LCM of 50 and 260 is
1,300

First common multiples: 1,300; 2,600; 3,900; …

1,300 is divisible by both: 1,300 ÷ 50 = 26; 1,300 ÷ 260 = 5 — and 26 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/50 by 26 and of y/260 by 5.

50 = 2 × 52

260 = 22 × 5 × 13

Prime50260Highest power
222222
552552
13—1313

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

LCM = 22 × 52 × 13 = 1,300

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
50125250
50130650
50140700
501451,450
50170850
50175350
50180900
501851,850
50200200
502052,050
502101,050
502201,100
502401,200
502452,450
50250250
502601,300
502852,850
503201,600
50325650
503301,650
503353,350
503453,450
503653,650
503701,850
50375750
503801,900
503901,950
50400400
504054,050
504102,050

FAQ

What's the Least Common Multiple (LCM) of 50 and 260?

LCM of 50 and 260 is 1,300

How to find the LCM of 50 and 260 using prime factorization?

To find the LCM of 50 and 260, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,300.

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 50 and 260: LCM = 1,300, GCF = 10.

See Also