LCM for 30 and 195

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What's the Least Common Multiple (LCM) of 30 and 195?

Answer

LCM of 30 and 195 is
390

First common multiples: 390; 780; 1,170; …

390 is divisible by both: 390 ÷ 30 = 13, 390 ÷ 195 = 2 — and 13 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/30 by 13 and of y/195 by 2.

30 = 2 × 3 × 5

195 = 3 × 5 × 13

Prime30195Highest power
22—2
3333
5555
13—1313

— = 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 × 13 = 390

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LCM Table

Number 1Number 2LCM
3058870
306060
3070210
3075150
3080240
30100300
30105210
30110330
30120120
30145870
30155930
30165330
30170510
30180180
301851,110
30195390
302151,290
302351,410
302383,570
30240240
302451,470
30255510
30270270
302751,650
30280840
30285570
30290870
303352,010
303552,130
303652,190

FAQ

What's the Least Common Multiple (LCM) of 30 and 195?

LCM of 30 and 195 is 390

How to find the LCM of 30 and 195 using prime factorization?

To find the LCM of 30 and 195, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 390.

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 30 and 195: LCM = 390, GCF = 15.

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