What is the Least Common Multiple of 23974 and 23983?

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 23974 and 23983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23974 and 23983, than apply into the LCM equation.

GCF(23974,23983) = 1
LCM(23974,23983) = ( 23974 × 23983) / 1
LCM(23974,23983) = 574968442 / 1
LCM(23974,23983) = 574968442

Least Common Multiple (LCM) of 23974 and 23983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23974 and 23983. First we will calculate the prime factors of 23974 and 23983.

Prime Factorization of 23974

Prime Factorization of 23983

Now multiplying the highest exponent prime factors to calculate the LCM of 23974 and 23983.

LCM(23974,23983) = 2¹ × 11987¹ × 29¹ × 827¹
LCM(23974,23983) = 574968442