GCF and LCM Calculator Logo

What is the Least Common Multiple of 15274 and 15278?

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 15274 and 15278 is 116678086.

LCM(15274,15278) = 116678086

LCM Calculator and
and

Least Common Multiple of 15274 and 15278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15274 and 15278, than apply into the LCM equation.

GCF(15274,15278) = 2
LCM(15274,15278) = ( 15274 × 15278) / 2
LCM(15274,15278) = 233356172 / 2
LCM(15274,15278) = 116678086

Least Common Multiple (LCM) of 15274 and 15278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15274 and 15278. First we will calculate the prime factors of 15274 and 15278.

Prime Factorization of 15274

Prime factors of 15274 are 2, 7, 1091. Prime factorization of 15274 in exponential form is:

15274 = 21 × 71 × 10911

Prime Factorization of 15278

Prime factors of 15278 are 2, 7639. Prime factorization of 15278 in exponential form is:

15278 = 21 × 76391

Now multiplying the highest exponent prime factors to calculate the LCM of 15274 and 15278.

LCM(15274,15278) = 21 × 71 × 10911 × 76391
LCM(15274,15278) = 116678086