LCM for 49 and 85
What's the Least Common Multiple (LCM) of 49 and 85?
(Four thousand, one hundred sixty-five)
Finding LCM for 49 and 85 using GCF's of these numbers
The first method to find LCM for numbers 49 and 85 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 49 and 85 is 1, so
LCM = (49 × 85) ÷ 1
LCM = 4165 ÷ 1
LCM = 4165
Finding LCM for 49 and 85 by Listing Multiples
The second method to find LCM for numbers 49 and 85 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 49: 49, 98, 147, 196, 245, 294, 343, 392, 441, 490, 539, 588, 637, 686, 735, 784, 833, 882, 931, 980, 1029, 1078, 1127, 1176, 1225, 1274, 1323, 1372, 1421, 1470, 1519, 1568, 1617, 1666, 1715, 1764, 1813, 1862, 1911, 1960, 2009, 2058, 2107, 2156, 2205, 2254, 2303, 2352, 2401, 2450, 2499, 2548, 2597, 2646, 2695, 2744, 2793, 2842, 2891, 2940, 2989, 3038, 3087, 3136, 3185, 3234, 3283, 3332, 3381, 3430, 3479, 3528, 3577, 3626, 3675, 3724, 3773, 3822, 3871, 3920, 3969, 4018, 4067, 4116, 4165, 4214, 4263
Multiples of 85: 85, 170, 255, 340, 425, 510, 595, 680, 765, 850, 935, 1020, 1105, 1190, 1275, 1360, 1445, 1530, 1615, 1700, 1785, 1870, 1955, 2040, 2125, 2210, 2295, 2380, 2465, 2550, 2635, 2720, 2805, 2890, 2975, 3060, 3145, 3230, 3315, 3400, 3485, 3570, 3655, 3740, 3825, 3910, 3995, 4080, 4165, 4250, 4335
So the LCM for 49 and 85 is 4165
Finding LCM for 49 and 85 by Prime Factorization
Another method to find LCM for numbers 49 and 85 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 49: 7, 7 (exponent form: 72)
All Prime Factors of 85: 5, 17 (exponent form: 51, 171)
72 × 51 × 171 = 4165
Related Calculations
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