What is the Least Common Multiple of 63556 and 63574?

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 63556 and 63574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63556 and 63574, than apply into the LCM equation.

GCF(63556,63574) = 2
LCM(63556,63574) = ( 63556 × 63574) / 2
LCM(63556,63574) = 4040509144 / 2
LCM(63556,63574) = 2020254572

Least Common Multiple (LCM) of 63556 and 63574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63556 and 63574. First we will calculate the prime factors of 63556 and 63574.

Prime Factorization of 63556

Prime Factorization of 63574

Now multiplying the highest exponent prime factors to calculate the LCM of 63556 and 63574.

LCM(63556,63574) = 2² × 15889¹ × 7¹ × 19¹ × 239¹
LCM(63556,63574) = 2020254572