What is the Least Common Multiple of 1576 and 1582?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 1576 and 1582 is 1246616.
LCM(1576,1582) = 1246616
Least Common Multiple of 1576 and 1582 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1576 and 1582, than apply into the LCM equation.
GCF(1576,1582) = 2
LCM(1576,1582) = ( 1576 × 1582) / 2
LCM(1576,1582) = 2493232 / 2
LCM(1576,1582) = 1246616
Least Common Multiple (LCM) of 1576 and 1582 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1576 and 1582. First we will calculate the prime factors of 1576 and 1582.
Prime Factorization of 1576
Prime factors of 1576 are 2, 197. Prime factorization of 1576 in exponential form is:
1576 = 23 × 1971
Prime Factorization of 1582
Prime factors of 1582 are 2, 7, 113. Prime factorization of 1582 in exponential form is:
1582 = 21 × 71 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 1576 and 1582.
LCM(1576,1582) = 23 × 1971 × 71 × 1131
LCM(1576,1582) = 1246616
Related Least Common Multiples of 1576
- LCM of 1576 and 1580
- LCM of 1576 and 1581
- LCM of 1576 and 1582
- LCM of 1576 and 1583
- LCM of 1576 and 1584
- LCM of 1576 and 1585
- LCM of 1576 and 1586
- LCM of 1576 and 1587
- LCM of 1576 and 1588
- LCM of 1576 and 1589
- LCM of 1576 and 1590
- LCM of 1576 and 1591
- LCM of 1576 and 1592
- LCM of 1576 and 1593
- LCM of 1576 and 1594
- LCM of 1576 and 1595
- LCM of 1576 and 1596
Related Least Common Multiples of 1582
- LCM of 1582 and 1586
- LCM of 1582 and 1587
- LCM of 1582 and 1588
- LCM of 1582 and 1589
- LCM of 1582 and 1590
- LCM of 1582 and 1591
- LCM of 1582 and 1592
- LCM of 1582 and 1593
- LCM of 1582 and 1594
- LCM of 1582 and 1595
- LCM of 1582 and 1596
- LCM of 1582 and 1597
- LCM of 1582 and 1598
- LCM of 1582 and 1599
- LCM of 1582 and 1600
- LCM of 1582 and 1601
- LCM of 1582 and 1602