GCF and LCM Calculator Logo

What is the Least Common Multiple of 1510 and 1522?

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 1510 and 1522 is 1149110.

LCM(1510,1522) = 1149110

LCM Calculator and
and

Least Common Multiple of 1510 and 1522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1510 and 1522, than apply into the LCM equation.

GCF(1510,1522) = 2
LCM(1510,1522) = ( 1510 × 1522) / 2
LCM(1510,1522) = 2298220 / 2
LCM(1510,1522) = 1149110

Least Common Multiple (LCM) of 1510 and 1522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1510 and 1522. First we will calculate the prime factors of 1510 and 1522.

Prime Factorization of 1510

Prime factors of 1510 are 2, 5, 151. Prime factorization of 1510 in exponential form is:

1510 = 21 × 51 × 1511

Prime Factorization of 1522

Prime factors of 1522 are 2, 761. Prime factorization of 1522 in exponential form is:

1522 = 21 × 7611

Now multiplying the highest exponent prime factors to calculate the LCM of 1510 and 1522.

LCM(1510,1522) = 21 × 51 × 1511 × 7611
LCM(1510,1522) = 1149110