GCF and LCM Calculator Logo

What is the Least Common Multiple of 1606 and 1624?

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 1606 and 1624 is 1304072.

LCM(1606,1624) = 1304072

LCM Calculator and
and

Least Common Multiple of 1606 and 1624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1606 and 1624, than apply into the LCM equation.

GCF(1606,1624) = 2
LCM(1606,1624) = ( 1606 × 1624) / 2
LCM(1606,1624) = 2608144 / 2
LCM(1606,1624) = 1304072

Least Common Multiple (LCM) of 1606 and 1624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1606 and 1624. First we will calculate the prime factors of 1606 and 1624.

Prime Factorization of 1606

Prime factors of 1606 are 2, 11, 73. Prime factorization of 1606 in exponential form is:

1606 = 21 × 111 × 731

Prime Factorization of 1624

Prime factors of 1624 are 2, 7, 29. Prime factorization of 1624 in exponential form is:

1624 = 23 × 71 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 1606 and 1624.

LCM(1606,1624) = 23 × 111 × 731 × 71 × 291
LCM(1606,1624) = 1304072