LCM for 8 and 45

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What's the Least Common Multiple (LCM) of 8 and 45?

Answer

LCM of 8 and 45 is
360

First common multiples: 360; 720; 1,080; …

360 is divisible by both: 360 ÷ 8 = 45, 360 ÷ 45 = 8 — and 45 and 8 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/8 by 45 and of y/45 by 8.

8 and 45 are coprime (GCF = 1), so their LCM is simply the product: 8 × 45 = 360.

8 = 23

45 = 32 × 5

Prime845Highest power
223—23
3—3232
5—55

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

LCM = 23 × 32 × 5 = 360

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LCM Table

Number 1Number 2LCM
82288
82424
825200
826104
827216
82856
830120
83232
833264
835280
83672
84040
841328
843344
84488
845360
846184
84848
849392
851408
852104
855440
857456
858232
860120
863504
86464
87272
88080
890360

FAQ

What's the Least Common Multiple (LCM) of 8 and 45?

LCM of 8 and 45 is 360

How to find the LCM of 8 and 45 using prime factorization?

To find the LCM of 8 and 45, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 360.

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 8 and 45: LCM = 360, GCF = 1.

See Also