GCF and LCM Calculator Logo

What is the Least Common Multiple of 1652 and 1660?

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 1652 and 1660 is 685580.

LCM(1652,1660) = 685580

LCM Calculator and
and

Least Common Multiple of 1652 and 1660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1652 and 1660, than apply into the LCM equation.

GCF(1652,1660) = 4
LCM(1652,1660) = ( 1652 × 1660) / 4
LCM(1652,1660) = 2742320 / 4
LCM(1652,1660) = 685580

Least Common Multiple (LCM) of 1652 and 1660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1652 and 1660. First we will calculate the prime factors of 1652 and 1660.

Prime Factorization of 1652

Prime factors of 1652 are 2, 7, 59. Prime factorization of 1652 in exponential form is:

1652 = 22 × 71 × 591

Prime Factorization of 1660

Prime factors of 1660 are 2, 5, 83. Prime factorization of 1660 in exponential form is:

1660 = 22 × 51 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 1652 and 1660.

LCM(1652,1660) = 22 × 71 × 591 × 51 × 831
LCM(1652,1660) = 685580