LCM for 96 and 404

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What's the Least Common Multiple (LCM) of 96 and 404?

Answer

LCM of 96 and 404 is
9,696

First common multiples: 9,696; 19,392; 29,088; …

9,696 is divisible by both: 9,696 ÷ 96 = 101; 9,696 ÷ 404 = 24 — and 101 and 24 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/96 by 101 and of y/404 by 24.

96 = 25 × 3

404 = 22 × 101

Prime96404Highest power
2252225
33—3
101—101101

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

LCM = 25 × 3 × 101 = 9,696

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
9638937,344
963906,240
9639137,536
963924,704
9639312,576
9639418,912
9639537,920
963963,168
9639738,112
9639819,104
9639912,768
964002,400
9640138,496
964026,432
9640338,688
964049,696
9640512,960
9640619,488
9640739,072
964081,632
9640939,264
9641019,680
9641113,152
964129,888
9641339,648
964146,624
9641539,840
964161,248
9641713,344
9641820,064

FAQ

What's the Least Common Multiple (LCM) of 96 and 404?

LCM of 96 and 404 is 9,696

How to find the LCM of 96 and 404 using prime factorization?

To find the LCM of 96 and 404, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 9,696.

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 96 and 404: LCM = 9,696, GCF = 4.

See Also