LCM for 78 and 98
What's the Least Common Multiple (LCM) of 78 and 98?
(Three thousand, eight hundred twenty-two)
Finding LCM for 78 and 98 using GCF's of these numbers
The first method to find LCM for numbers 78 and 98 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 78 and 98 is 2, so
LCM = (78 × 98) ÷ 2
LCM = 7644 ÷ 2
LCM = 3822
Finding LCM for 78 and 98 by Listing Multiples
The second method to find LCM for numbers 78 and 98 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 78: 78, 156, 234, 312, 390, 468, 546, 624, 702, 780, 858, 936, 1014, 1092, 1170, 1248, 1326, 1404, 1482, 1560, 1638, 1716, 1794, 1872, 1950, 2028, 2106, 2184, 2262, 2340, 2418, 2496, 2574, 2652, 2730, 2808, 2886, 2964, 3042, 3120, 3198, 3276, 3354, 3432, 3510, 3588, 3666, 3744, 3822, 3900, 3978
Multiples of 98: 98, 196, 294, 392, 490, 588, 686, 784, 882, 980, 1078, 1176, 1274, 1372, 1470, 1568, 1666, 1764, 1862, 1960, 2058, 2156, 2254, 2352, 2450, 2548, 2646, 2744, 2842, 2940, 3038, 3136, 3234, 3332, 3430, 3528, 3626, 3724, 3822, 3920, 4018
So the LCM for 78 and 98 is 3822
Finding LCM for 78 and 98 by Prime Factorization
Another method to find LCM for numbers 78 and 98 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 78: 2, 3, 13 (exponent form: 21, 31, 131)
All Prime Factors of 98: 2, 7, 7 (exponent form: 21, 72)
21 × 31 × 131 × 72 = 3822
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/78--98">What is the LCM of 78 and 98? - Calculatio</a>
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