LCM for 75 and 297

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What's the Least Common Multiple (LCM) of 75 and 297?

Answer

LCM of 75 and 297 is
7,425

First common multiples: 7,425; 14,850; 22,275; …

7,425 is divisible by both: 7,425 ÷ 75 = 99; 7,425 ÷ 297 = 25 — and 99 and 25 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/75 by 99 and of y/297 by 25.

75 = 3 × 52

297 = 33 × 11

Prime75297Highest power
333333
552—52
11—1111

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

LCM = 33 × 52 × 11 = 7,425

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
752827,050
7528321,225
7528421,300
752851,425
7528621,450
7528721,525
752887,200
7528921,675
752904,350
752917,275
7529221,900
7529321,975
752947,350
752954,425
7529622,200
752977,425
7529822,350
7529922,425
75300300
7530122,575
7530222,650
753037,575
7530422,800
753054,575
753067,650
7530723,025
7530823,100
753097,725
753104,650
7531123,325

FAQ

What's the Least Common Multiple (LCM) of 75 and 297?

LCM of 75 and 297 is 7,425

How to find the LCM of 75 and 297 using prime factorization?

To find the LCM of 75 and 297, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 7,425.

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 75 and 297: LCM = 7,425, GCF = 3.

See Also