GCF and LCM Calculator Logo

What is the Least Common Multiple of 1562 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 1562 and 1582 is 1235542.

LCM(1562,1582) = 1235542

LCM Calculator and
and

Least Common Multiple of 1562 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 1562 and 1582, than apply into the LCM equation.

GCF(1562,1582) = 2
LCM(1562,1582) = ( 1562 × 1582) / 2
LCM(1562,1582) = 2471084 / 2
LCM(1562,1582) = 1235542

Least Common Multiple (LCM) of 1562 and 1582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1562 and 1582. First we will calculate the prime factors of 1562 and 1582.

Prime Factorization of 1562

Prime factors of 1562 are 2, 11, 71. Prime factorization of 1562 in exponential form is:

1562 = 21 × 111 × 711

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 1562 and 1582.

LCM(1562,1582) = 21 × 111 × 711 × 71 × 1131
LCM(1562,1582) = 1235542