GCF and LCM Calculator Logo

What is the Least Common Multiple of 7611 and 7621?

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 7611 and 7621 is 58003431.

LCM(7611,7621) = 58003431

LCM Calculator and
and

Least Common Multiple of 7611 and 7621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7611 and 7621, than apply into the LCM equation.

GCF(7611,7621) = 1
LCM(7611,7621) = ( 7611 × 7621) / 1
LCM(7611,7621) = 58003431 / 1
LCM(7611,7621) = 58003431

Least Common Multiple (LCM) of 7611 and 7621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7611 and 7621. First we will calculate the prime factors of 7611 and 7621.

Prime Factorization of 7611

Prime factors of 7611 are 3, 43, 59. Prime factorization of 7611 in exponential form is:

7611 = 31 × 431 × 591

Prime Factorization of 7621

Prime factors of 7621 are 7621. Prime factorization of 7621 in exponential form is:

7621 = 76211

Now multiplying the highest exponent prime factors to calculate the LCM of 7611 and 7621.

LCM(7611,7621) = 31 × 431 × 591 × 76211
LCM(7611,7621) = 58003431