What is the Least Common Multiple of 23926 and 23938?

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 23926 and 23938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23926 and 23938, than apply into the LCM equation.

GCF(23926,23938) = 2
LCM(23926,23938) = ( 23926 × 23938) / 2
LCM(23926,23938) = 572740588 / 2
LCM(23926,23938) = 286370294

Least Common Multiple (LCM) of 23926 and 23938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23926 and 23938. First we will calculate the prime factors of 23926 and 23938.

Prime Factorization of 23926

Prime Factorization of 23938

Now multiplying the highest exponent prime factors to calculate the LCM of 23926 and 23938.

LCM(23926,23938) = 2¹ × 7¹ × 1709¹ × 11969¹
LCM(23926,23938) = 286370294