LCM for 50 and 345

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What's the Least Common Multiple (LCM) of 50 and 345?

Answer

LCM of 50 and 345 is
3,450

First common multiples: 3,450; 6,900; 10,350; …

3,450 is divisible by both: 3,450 ÷ 50 = 69; 3,450 ÷ 345 = 10 — and 69 and 10 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/50 by 69 and of y/345 by 10.

50 = 2 × 52

345 = 3 × 5 × 23

Prime50345Highest power
22—2
3—33
552552
23—2323

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

LCM = 2 × 3 × 52 × 23 = 3,450

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
50175350
50180900
501851,850
50200200
502052,050
502101,050
502401,200
502452,450
50250250
502601,300
502852,850
503201,600
50325650
503301,650
503353,350
503453,450
503653,650
503701,850
503801,900
503901,950
504054,050
504102,050
504154,150
504302,150
504402,200
504702,350
50475950
504802,400
50500500
505251,050

FAQ

What's the Least Common Multiple (LCM) of 50 and 345?

LCM of 50 and 345 is 3,450

How to find the LCM of 50 and 345 using prime factorization?

To find the LCM of 50 and 345, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,450.

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 345: LCM = 3,450, GCF = 5.

See Also