GCF and LCM Calculator Logo

What is the Least Common Multiple of 246 and 260?

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 246 and 260 is 31980.

LCM(246,260) = 31980

LCM Calculator and
and

Least Common Multiple of 246 and 260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 246 and 260, than apply into the LCM equation.

GCF(246,260) = 2
LCM(246,260) = ( 246 × 260) / 2
LCM(246,260) = 63960 / 2
LCM(246,260) = 31980

Least Common Multiple (LCM) of 246 and 260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 246 and 260. First we will calculate the prime factors of 246 and 260.

Prime Factorization of 246

Prime factors of 246 are 2, 3, 41. Prime factorization of 246 in exponential form is:

246 = 21 × 31 × 411

Prime Factorization of 260

Prime factors of 260 are 2, 5, 13. Prime factorization of 260 in exponential form is:

260 = 22 × 51 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 246 and 260.

LCM(246,260) = 22 × 31 × 411 × 51 × 131
LCM(246,260) = 31980