GCF and LCM Calculator Logo

What is the Least Common Multiple of 3531 and 3551?

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 3531 and 3551 is 12538581.

LCM(3531,3551) = 12538581

LCM Calculator and
and

Least Common Multiple of 3531 and 3551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3531 and 3551, than apply into the LCM equation.

GCF(3531,3551) = 1
LCM(3531,3551) = ( 3531 × 3551) / 1
LCM(3531,3551) = 12538581 / 1
LCM(3531,3551) = 12538581

Least Common Multiple (LCM) of 3531 and 3551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3531 and 3551. First we will calculate the prime factors of 3531 and 3551.

Prime Factorization of 3531

Prime factors of 3531 are 3, 11, 107. Prime factorization of 3531 in exponential form is:

3531 = 31 × 111 × 1071

Prime Factorization of 3551

Prime factors of 3551 are 53, 67. Prime factorization of 3551 in exponential form is:

3551 = 531 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 3531 and 3551.

LCM(3531,3551) = 31 × 111 × 1071 × 531 × 671
LCM(3531,3551) = 12538581