What is the Least Common Multiple of 23514 and 23534?

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 23514 and 23534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23514 and 23534, than apply into the LCM equation.

GCF(23514,23534) = 2
LCM(23514,23534) = ( 23514 × 23534) / 2
LCM(23514,23534) = 553378476 / 2
LCM(23514,23534) = 276689238

Least Common Multiple (LCM) of 23514 and 23534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23514 and 23534. First we will calculate the prime factors of 23514 and 23534.

Prime Factorization of 23514

Prime Factorization of 23534

Now multiplying the highest exponent prime factors to calculate the LCM of 23514 and 23534.

LCM(23514,23534) = 2¹ × 3¹ × 3919¹ × 7¹ × 41²
LCM(23514,23534) = 276689238