What is the Least Common Multiple of 23534 and 23542?

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 23534 and 23542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23534 and 23542, than apply into the LCM equation.

GCF(23534,23542) = 2
LCM(23534,23542) = ( 23534 × 23542) / 2
LCM(23534,23542) = 554037428 / 2
LCM(23534,23542) = 277018714

Least Common Multiple (LCM) of 23534 and 23542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23534 and 23542. First we will calculate the prime factors of 23534 and 23542.

Prime Factorization of 23534

Prime Factorization of 23542

Now multiplying the highest exponent prime factors to calculate the LCM of 23534 and 23542.

LCM(23534,23542) = 2¹ × 7¹ × 41² × 79¹ × 149¹
LCM(23534,23542) = 277018714