LCM for 81 and 49

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What's the Least Common Multiple (LCM) of 81 and 49?

Answer

LCM of 81 and 49 is
3,969

First common multiples: 3,969; 7,938; 11,907; …

3,969 is divisible by both: 3,969 ÷ 81 = 49; 3,969 ÷ 49 = 81 — and 49 and 81 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/81 by 49 and of y/49 by 81.

81 and 49 are coprime (GCF = 1), so their LCM is simply the product: 81 × 49 = 3,969.

81 = 34

49 = 72

Prime8149Highest power
334—34
7—7272

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

LCM = 34 × 72 = 3,969

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
81342,754
81352,835
8136324
81372,997
81383,078
81391,053
81403,240
81413,321
81421,134
81433,483
81443,564
8145405
81463,726
81473,807
81481,296
81493,969
81504,050
81511,377
81524,212
81534,293
8154162
81554,455
81564,536
81571,539
81584,698
81594,779
81601,620
81614,941
81625,022
8163567

FAQ

What's the Least Common Multiple (LCM) of 81 and 49?

LCM of 81 and 49 is 3,969

How to find the LCM of 81 and 49 using prime factorization?

To find the LCM of 81 and 49, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,969.

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 81 and 49: LCM = 3,969, GCF = 1.

See Also