LCM for 105 and 120

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What's the Least Common Multiple (LCM) of 105 and 120?

Answer

LCM of 105 and 120 is
840

First common multiples: 840; 1,680; 2,520; …

840 is divisible by both: 840 ÷ 105 = 8, 840 ÷ 120 = 7 — and 8 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/105 by 8 and of y/120 by 7.

105 = 3 × 5 × 7

120 = 23 × 3 × 5

Prime105120Highest power
2—2323
3333
5555
77—7

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

LCM = 23 × 3 × 5 × 7 = 840

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
105120840
105126630
1051302,730
105147735
1051501,050
1051542,310
1051651,155
1051703,570
105175525
105189945
1051951,365
1052251,575
105245735
1054622,310
1057702,310

FAQ

What's the Least Common Multiple (LCM) of 105 and 120?

LCM of 105 and 120 is 840

How to find the LCM of 105 and 120 using prime factorization?

To find the LCM of 105 and 120, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 840.

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 105 and 120: LCM = 840, GCF = 15.

See Also