LCM for 20 and 46

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What's the Least Common Multiple (LCM) of 20 and 46?

Answer

LCM of 20 and 46 is
460

First common multiples: 460; 920; 1,380; …

460 is divisible by both: 460 ÷ 20 = 23, 460 ÷ 46 = 10 — and 23 and 10 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/20 by 23 and of y/46 by 10.

20 = 22 × 5

46 = 2 × 23

Prime2046Highest power
222222
55—5
23—2323

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

LCM = 22 × 5 × 23 = 460

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LCM Table

Number 1Number 2LCM
2025100
2026260
2027540
2028140
2029580
203060
2033660
2034340
2035140
2036180
2039780
204040
2043860
2044220
2045180
2046460
2047940
2048240
2050100
20511,020
20531,060
2054540
2055220
2058580
206060
2070140
2075300
2084420
2090180
20100100

FAQ

What's the Least Common Multiple (LCM) of 20 and 46?

LCM of 20 and 46 is 460

How to find the LCM of 20 and 46 using prime factorization?

To find the LCM of 20 and 46, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 460.

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 20 and 46: LCM = 460, GCF = 2.

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