What is the Least Common Multiple of 24762 and 24778?

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 24762 and 24778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24762 and 24778, than apply into the LCM equation.

GCF(24762,24778) = 2
LCM(24762,24778) = ( 24762 × 24778) / 2
LCM(24762,24778) = 613552836 / 2
LCM(24762,24778) = 306776418

Least Common Multiple (LCM) of 24762 and 24778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24762 and 24778. First we will calculate the prime factors of 24762 and 24778.

Prime Factorization of 24762

Prime Factorization of 24778

Now multiplying the highest exponent prime factors to calculate the LCM of 24762 and 24778.

LCM(24762,24778) = 2¹ × 3¹ × 4127¹ × 13¹ × 953¹
LCM(24762,24778) = 306776418