LCM for 13 and 42

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What's the Least Common Multiple (LCM) of 13 and 42?

Answer

LCM of 13 and 42 is
546

First common multiples: 546; 1,092; 1,638; …

546 is divisible by both: 546 ÷ 13 = 42, 546 ÷ 42 = 13 — and 42 and 13 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/13 by 42 and of y/42 by 13.

13 and 42 are coprime (GCF = 1), so their LCM is simply the product: 13 × 42 = 546.

13 — prime

42 = 2 × 3 × 7

Prime1342Highest power
2—22
3—33
7—77
1313—13

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

LCM = 2 × 3 × 7 × 13 = 546

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LCM Table

Number 1Number 2LCM
1314182
1315195
1316208
1317221
1318234
1319247
1320260
1321273
1322286
1323299
1324312
132626
1327351
1330390
1334442
1335455
1337481
133939
1340520
1341533
1342546
1344572
1345585
1347611
1349637
1350650
135252
1356728
1360780
136565

FAQ

What's the Least Common Multiple (LCM) of 13 and 42?

LCM of 13 and 42 is 546

How to find the LCM of 13 and 42 using prime factorization?

To find the LCM of 13 and 42, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 546.

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 13 and 42: LCM = 546, GCF = 1.

See Also