LCM for 41 and 42

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What's the Least Common Multiple (LCM) of 41 and 42?

Answer

LCM of 41 and 42 is
1,722

First common multiples: 1,722; 3,444; 5,166; …

1,722 is divisible by both: 1,722 ÷ 41 = 42; 1,722 ÷ 42 = 41 — and 42 and 41 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/41 by 42 and of y/42 by 41.

41 and 42 are coprime (GCF = 1), so their LCM is simply the product: 41 × 42 = 1,722.

41 — prime

42 = 2 × 3 × 7

Prime4142Highest power
2—22
3—33
7—77
4141—41

— = 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 × 41 = 1,722

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LCM Table

Number 1Number 2LCM
41271,107
41281,148
41291,189
41301,230
41311,271
41321,312
41331,353
41341,394
41351,435
41361,476
41371,517
41381,558
41391,599
41401,640
414141
41421,722
41431,763
41441,804
41451,845
41461,886
41471,927
41481,968
41492,009
41502,050
41512,091
41522,132
41532,173
41542,214
41552,255
41562,296

FAQ

What's the Least Common Multiple (LCM) of 41 and 42?

LCM of 41 and 42 is 1,722

How to find the LCM of 41 and 42 using prime factorization?

To find the LCM of 41 and 42, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,722.

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 41 and 42: LCM = 1,722, GCF = 1.

See Also