What is the Least Common Multiple of 21540 and 21554?

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 21540 and 21554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21540 and 21554, than apply into the LCM equation.

GCF(21540,21554) = 2
LCM(21540,21554) = ( 21540 × 21554) / 2
LCM(21540,21554) = 464273160 / 2
LCM(21540,21554) = 232136580

Least Common Multiple (LCM) of 21540 and 21554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21540 and 21554. First we will calculate the prime factors of 21540 and 21554.

Prime Factorization of 21540

Prime Factorization of 21554

Now multiplying the highest exponent prime factors to calculate the LCM of 21540 and 21554.

LCM(21540,21554) = 2² × 3¹ × 5¹ × 359¹ × 13¹ × 829¹
LCM(21540,21554) = 232136580