LCM for 45 and 120

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 45 and 120?

Answer

LCM of 45 and 120 is
360

First common multiples: 360; 720; 1,080; …

360 is divisible by both: 360 ÷ 45 = 8, 360 ÷ 120 = 3 — and 8 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/45 by 8 and of y/120 by 3.

45 = 32 × 5

120 = 23 × 3 × 5

Prime45120Highest power
2—2323
332332
5555

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

LCM = 23 × 32 × 5 = 360

More with these numbers

Related Calculations

See Also

LCM Table

Number 1Number 2LCM
45492,205
4550450
45522,340
45532,385
4554270
4555495
4557855
4560180
4563315
4565585
4570630
4572360
4575225
45763,420
4580720
4581405
45841,260
459090
4595855
4599495
45100900
45105315
45108540
45117585
45120360
451251,125
45135135
45150450
45180180
45405405

FAQ

What's the Least Common Multiple (LCM) of 45 and 120?

LCM of 45 and 120 is 360

How to find the LCM of 45 and 120 using prime factorization?

To find the LCM of 45 and 120, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 360.

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 45 and 120: LCM = 360, GCF = 15.

See Also