LCM for 220 and 308

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What's the Least Common Multiple (LCM) of 220 and 308?

Answer

LCM of 220 and 308 is
1,540

First common multiples: 1,540; 3,080; 4,620; …

1,540 is divisible by both: 1,540 ÷ 220 = 7; 1,540 ÷ 308 = 5 — and 7 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/220 by 7 and of y/308 by 5.

220 = 22 × 5 × 11

308 = 22 × 7 × 11

Prime220308Highest power
2222222
55—5
7—77
11111111

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

LCM = 22 × 5 × 7 × 11 = 1,540

See Also

LCM Table

Number 1Number 2LCM
22029364,460
22029432,340
22029512,980
22029616,280
2202975,940
22029832,780
22029965,780
2203003,300
22030166,220
22030233,220
22030366,660
22030416,720
22030513,420
22030633,660
22030767,540
2203081,540
22030967,980
2203106,820
22031168,420
22031217,160
22031368,860
22031434,540
22031513,860
22031617,380
22031769,740
22031834,980
2203196,380
2203203,520
22032170,620
22032235,420

FAQ

What's the Least Common Multiple (LCM) of 220 and 308?

LCM of 220 and 308 is 1,540

How to find the LCM of 220 and 308 using prime factorization?

To find the LCM of 220 and 308, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,540.

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 220 and 308: LCM = 1,540, GCF = 44.