LCM for 60 and 275

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What's the Least Common Multiple (LCM) of 60 and 275?

Answer

LCM of 60 and 275 is
3,300

First common multiples: 3,300; 6,600; 9,900; …

3,300 is divisible by both: 3,300 ÷ 60 = 55; 3,300 ÷ 275 = 12 — and 55 and 12 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/60 by 55 and of y/275 by 12.

60 = 22 × 3 × 5

275 = 52 × 11

Prime60275Highest power
222—22
33—3
555252
11—1111

— = 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 × 11 = 3,300

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LCM Table

Number 1Number 2LCM
60135540
60140420
60150300
601551,860
60160480
601752,100
601852,220
601901,140
602152,580
60220660
602352,820
60240240
602452,940
602501,500
60260780
602753,300
60280840
602901,740
603151,260
60320960
60330660
603401,020
603451,380
60360360
603654,380
603702,220
60390780
604001,200
604102,460
604302,580

FAQ

What's the Least Common Multiple (LCM) of 60 and 275?

LCM of 60 and 275 is 3,300

How to find the LCM of 60 and 275 using prime factorization?

To find the LCM of 60 and 275, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,300.

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 60 and 275: LCM = 3,300, GCF = 5.

See Also