LCM for 4 and 35
What's the Least Common Multiple (LCM) of 4 and 35?
Answer
(One hundred forty)
Finding LCM for 4 and 35 using GCF of these numbers
The first method to find LCM for numbers 4 and 35 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 4 and 35 is 1, so
LCM = (4 × 35) ÷ 1
LCM = 140 ÷ 1
LCM = 140
Finding LCM for 4 and 35 by Listing Multiples
The second method to find LCM for numbers 4 and 35 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148
Multiples of 35: 35, 70, 105, 140, 175, 210
So the LCM for 4 and 35 is 140
Finding LCM for 4 and 35 by Prime Factorization
Another method to find LCM for numbers 4 and 35 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 4: 2, 2 (exponent form: 22)
All Prime Factors of 35: 5, 7 (exponent form: 51, 71)
22 × 51 × 71 = 140
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
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LCM Table
About "Least Common Multiple" Calculator
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