What is the Least Common Multiple of 13454 and 13462?

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 of 13454 and 13462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13454 and 13462, than apply into the LCM equation.

GCF(13454,13462) = 2
LCM(13454,13462) = ( 13454 × 13462) / 2
LCM(13454,13462) = 181117748 / 2
LCM(13454,13462) = 90558874

Least Common Multiple (LCM) of 13454 and 13462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13454 and 13462. First we will calculate the prime factors of 13454 and 13462.

Prime Factorization of 13454

Prime Factorization of 13462

Now multiplying the highest exponent prime factors to calculate the LCM of 13454 and 13462.

LCM(13454,13462) = 2¹ × 7¹ × 31² × 53¹ × 127¹
LCM(13454,13462) = 90558874