LCM for 100 and 340

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What's the Least Common Multiple (LCM) of 100 and 340?

Answer

LCM of 100 and 340 is
1,700

First common multiples: 1,700; 3,400; 5,100; …

1,700 is divisible by both: 1,700 ÷ 100 = 17; 1,700 ÷ 340 = 5 — and 17 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/100 by 17 and of y/340 by 5.

100 = 22 × 52

340 = 22 × 5 × 17

Prime100340Highest power
2222222
552552
17—1717

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

LCM = 22 × 52 × 17 = 1,700

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
1002154,300
1002201,100
100225900
1002302,300
1002401,200
100250500
1002555,100
1002601,300
1002702,700
1002751,100
1002855,700
1002902,900
1003201,600
1003251,300
1003303,300
1003401,700
1003601,800
1003657,300
1003751,500
1003857,700
100400400
1004058,100
1004158,300
1004458,900
100450900
1004659,300
1004704,700
1004904,900
100500500
1001,0001,000

FAQ

What's the Least Common Multiple (LCM) of 100 and 340?

LCM of 100 and 340 is 1,700

How to find the LCM of 100 and 340 using prime factorization?

To find the LCM of 100 and 340, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,700.

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 100 and 340: LCM = 1,700, GCF = 20.

See Also