LCM for 170 and 300

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What's the Least Common Multiple (LCM) of 170 and 300?

Answer

LCM of 170 and 300 is
5,100

First common multiples: 5,100; 10,200; 15,300; …

5,100 is divisible by both: 5,100 ÷ 170 = 30; 5,100 ÷ 300 = 17 — and 30 and 17 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/170 by 30 and of y/300 by 17.

170 = 2 × 5 × 17

300 = 22 × 3 × 52

Prime170300Highest power
222222
3—33
555252
1717—17

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

LCM = 22 × 3 × 52 × 17 = 5,100

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
1702859,690
17028624,310
17028748,790
17028824,480
1702892,890
1702904,930
17029149,470
17029224,820
17029349,810
17029424,990
17029510,030
17029625,160
17029750,490
17029825,330
17029950,830
1703005,100
17030151,170
17030225,670
17030351,510
17030425,840
17030510,370
1703061,530
17030752,190
17030826,180
17030952,530
1703105,270
17031152,870
17031226,520
17031353,210
17031426,690

FAQ

What's the Least Common Multiple (LCM) of 170 and 300?

LCM of 170 and 300 is 5,100

How to find the LCM of 170 and 300 using prime factorization?

To find the LCM of 170 and 300, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 5,100.

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 170 and 300: LCM = 5,100, GCF = 10.

See Also