What is the Least Common Multiple of 23454 and 23462?

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 23454 and 23462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23454 and 23462, than apply into the LCM equation.

GCF(23454,23462) = 2
LCM(23454,23462) = ( 23454 × 23462) / 2
LCM(23454,23462) = 550277748 / 2
LCM(23454,23462) = 275138874

Least Common Multiple (LCM) of 23454 and 23462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23454 and 23462. First we will calculate the prime factors of 23454 and 23462.

Prime Factorization of 23454

Prime Factorization of 23462

Now multiplying the highest exponent prime factors to calculate the LCM of 23454 and 23462.

LCM(23454,23462) = 2¹ × 3² × 1303¹ × 11731¹
LCM(23454,23462) = 275138874