LCM for 76 and 104

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What's the Least Common Multiple (LCM) of 76 and 104?

Answer

LCM of 76 and 104 is
1,976

First common multiples: 1,976; 3,952; 5,928; …

1,976 is divisible by both: 1,976 ÷ 76 = 26; 1,976 ÷ 104 = 19 — and 26 and 19 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/76 by 26 and of y/104 by 19.

76 = 22 × 19

104 = 23 × 13

Prime76104Highest power
2222323
13—1313
1919—19

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

LCM = 23 × 13 × 19 = 1,976

See Also

LCM Table

Number 1Number 2LCM
76896,764
76903,420
76916,916
76921,748
76937,068
76943,572
7695380
76961,824
76977,372
76983,724
76997,524
761001,900
761017,676
761023,876
761037,828
761041,976
761057,980
761064,028
761078,132
761082,052
761098,284
761104,180
761118,436
761122,128
761138,588
76114228
761158,740
761162,204
761178,892
761184,484

FAQ

What's the Least Common Multiple (LCM) of 76 and 104?

LCM of 76 and 104 is 1,976

How to find the LCM of 76 and 104 using prime factorization?

To find the LCM of 76 and 104, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,976.

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 76 and 104: LCM = 1,976, GCF = 4.