LCM for 50 and 825

What's the Least Common Multiple (LCM) of 50 and 825?

Answer: LCM of 50 and 825 is 1,650

(One thousand, six hundred fifty)

Finding LCM for 50 and 825 using GCF's of these numbers

The first method to find LCM for numbers 50 and 825 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 50 and 825 is 25, so

LCM = (50 × 825) ÷ 25

LCM = 41250 ÷ 25

LCM = 1650

Finding LCM for 50 and 825 by Listing Multiples

The second method to find LCM for numbers 50 and 825 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 50: 50, 100, 150, 200, 250, 300, 350, 400, 450, 500, 550, 600, 650, 700, 750, 800, 850, 900, 950, 1000, 1050, 1100, 1150, 1200, 1250, 1300, 1350, 1400, 1450, 1500, 1550, 1600, 1650, 1700, 1750

Multiples of 825: 825, 1650, 2475, 3300

So the LCM for 50 and 825 is 1650

Finding LCM for 50 and 825 by Prime Factorization

Another method to find LCM for numbers 50 and 825 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 50: 2, 5, 5 (exponent form: 21, 52)

All Prime Factors of 825: 3, 5, 5, 11 (exponent form: 31, 52, 111)

21 × 52 × 31 × 111 = 1650

See Also

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 50 and 825? (The answer is: 1650). Select the first number (e.g. '50') and the second number (e.g. '825'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

LCM Table

Number 1Number 2LCM
358255775
368259900
3782530525
3882531350
3982510725
408256600
4182533825
4282511550
4382535475
448253300
458252475
4682537950
4782538775
4882513200
4982540425
50825
5182514025
5282542900
5382543725
5482514850
55825825
5682546200
5782515675
5882547850
5982548675
608253300
6182550325
6282551150
6382517325
6482552800

FAQ

What's the Least Common Multiple (LCM) of 50 and 825?

LCM of 50 and 825 is 1,650