LCM for 75 and 135

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What's the Least Common Multiple (LCM) of 75 and 135?

Answer

LCM of 75 and 135 is
675

First common multiples: 675; 1,350; 2,025; …

675 is divisible by both: 675 ÷ 75 = 9, 675 ÷ 135 = 5 — and 9 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/75 by 9 and of y/135 by 5.

75 = 3 × 52

135 = 33 × 5

Prime75135Highest power
333333
552552

LCM = 33 × 52 = 675

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
75120600
751219,075
751229,150
751233,075
751249,300
75125375
751263,150
751279,525
751289,600
751293,225
751301,950
751319,825
751323,300
751339,975
7513410,050
75135675
7513610,200
7513710,275
751383,450
7513910,425
751402,100
751413,525
7514210,650
7514310,725
751443,600
751452,175
7514610,950
751473,675
7514811,100
7514911,175

FAQ

What's the Least Common Multiple (LCM) of 75 and 135?

LCM of 75 and 135 is 675

How to find the LCM of 75 and 135 using prime factorization?

To find the LCM of 75 and 135, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 675.

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 75 and 135: LCM = 675, GCF = 15.

See Also