What is the Least Common Multiple of 63554 and 63572?

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 63554 and 63572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63554 and 63572, than apply into the LCM equation.

GCF(63554,63572) = 2
LCM(63554,63572) = ( 63554 × 63572) / 2
LCM(63554,63572) = 4040254888 / 2
LCM(63554,63572) = 2020127444

Least Common Multiple (LCM) of 63554 and 63572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63554 and 63572. First we will calculate the prime factors of 63554 and 63572.

Prime Factorization of 63554

Prime Factorization of 63572

Now multiplying the highest exponent prime factors to calculate the LCM of 63554 and 63572.

LCM(63554,63572) = 2² × 43¹ × 739¹ × 23¹ × 691¹
LCM(63554,63572) = 2020127444