LCM for 28 and 105

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What's the Least Common Multiple (LCM) of 28 and 105?

Answer

LCM of 28 and 105 is
420

First common multiples: 420; 840; 1,260; …

420 is divisible by both: 420 ÷ 28 = 15, 420 ÷ 105 = 4 — and 15 and 4 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/28 by 15 and of y/105 by 4.

28 = 22 × 7

105 = 3 × 5 × 7

Prime28105Highest power
222—22
3—33
5—55
7777

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

LCM = 22 × 3 × 5 × 7 = 420

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
2832224
2834476
2835140
2836252
2838532
2840280
28411,148
284284
28431,204
28451,260
2846644
2848336
2849196
2850700
28511,428
2852364
2854756
285656
28571,596
2858812
28591,652
2860420
2863252
2864448
2870140
2872504
2880560
288484
28105420
28126252

FAQ

What's the Least Common Multiple (LCM) of 28 and 105?

LCM of 28 and 105 is 420

How to find the LCM of 28 and 105 using prime factorization?

To find the LCM of 28 and 105, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 420.

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 28 and 105: LCM = 420, GCF = 7.

See Also