LCM for 30 and 365

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What's the Least Common Multiple (LCM) of 30 and 365?

Answer

LCM of 30 and 365 is
2,190

First common multiples: 2,190; 4,380; 6,570; …

2,190 is divisible by both: 2,190 ÷ 30 = 73; 2,190 ÷ 365 = 6 — and 73 and 6 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/30 by 73 and of y/365 by 6.

30 = 2 × 3 × 5

365 = 5 × 73

Prime30365Highest power
22—2
33—3
5555
73—7373

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

LCM = 2 × 3 × 5 × 73 = 2,190

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LCM Table

Number 1Number 2LCM
30165330
30170510
30180180
301851,110
30195390
302151,290
302351,410
302383,570
30240240
302451,470
30255510
30270270
302751,650
30280840
30285570
30290870
303352,010
303552,130
303652,190
303701,110
30390390
304001,200
30405810
30420420
30435870
304452,670
30450450
304701,410
30480480
30495990

FAQ

What's the Least Common Multiple (LCM) of 30 and 365?

LCM of 30 and 365 is 2,190

How to find the LCM of 30 and 365 using prime factorization?

To find the LCM of 30 and 365, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,190.

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 30 and 365: LCM = 2,190, GCF = 5.

See Also