What is the Least Common Multiple of 63540 and 63554?

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 63540 and 63554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63540 and 63554, than apply into the LCM equation.

GCF(63540,63554) = 2
LCM(63540,63554) = ( 63540 × 63554) / 2
LCM(63540,63554) = 4038221160 / 2
LCM(63540,63554) = 2019110580

Least Common Multiple (LCM) of 63540 and 63554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63540 and 63554. First we will calculate the prime factors of 63540 and 63554.

Prime Factorization of 63540

Prime Factorization of 63554

Now multiplying the highest exponent prime factors to calculate the LCM of 63540 and 63554.

LCM(63540,63554) = 2² × 3² × 5¹ × 353¹ × 43¹ × 739¹
LCM(63540,63554) = 2019110580