LCM for 81 and 108

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What's the Least Common Multiple (LCM) of 81 and 108?

Answer

LCM of 81 and 108 is
324

First common multiples: 324, 648, 972, …

324 is divisible by both: 324 ÷ 81 = 4, 324 ÷ 108 = 3 — and 4 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/81 by 4 and of y/108 by 3.

81 = 34

108 = 22 × 33

Prime81108Highest power
2—2222
3343334

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

LCM = 22 × 34 = 324

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
81932,511
81947,614
81957,695
81962,592
81977,857
81987,938
8199891
811008,100
811018,181
811022,754
811038,343
811048,424
811052,835
811068,586
811078,667
81108324
811098,829
811108,910
811112,997
811129,072
811139,153
811143,078
811159,315
811169,396
811171,053
811189,558
811199,639
811203,240
811219,801
811229,882

FAQ

What's the Least Common Multiple (LCM) of 81 and 108?

LCM of 81 and 108 is 324

How to find the LCM of 81 and 108 using prime factorization?

To find the LCM of 81 and 108, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 324.

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 108: LCM = 324, GCF = 27.

See Also