What is the Least Common Multiple of 21774 and 21782?

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 21774 and 21782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21774 and 21782, than apply into the LCM equation.

GCF(21774,21782) = 2
LCM(21774,21782) = ( 21774 × 21782) / 2
LCM(21774,21782) = 474281268 / 2
LCM(21774,21782) = 237140634

Least Common Multiple (LCM) of 21774 and 21782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21774 and 21782. First we will calculate the prime factors of 21774 and 21782.

Prime Factorization of 21774

Prime Factorization of 21782

Now multiplying the highest exponent prime factors to calculate the LCM of 21774 and 21782.

LCM(21774,21782) = 2¹ × 3¹ × 19¹ × 191¹ × 10891¹
LCM(21774,21782) = 237140634