What is the Least Common Multiple of 63568 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 63568 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 63568 and 63574, than apply into the LCM equation.

GCF(63568,63574) = 2
LCM(63568,63574) = ( 63568 × 63574) / 2
LCM(63568,63574) = 4041272032 / 2
LCM(63568,63574) = 2020636016

Least Common Multiple (LCM) of 63568 and 63574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63568 and 63574. First we will calculate the prime factors of 63568 and 63574.

Prime Factorization of 63568

Prime Factorization of 63574

Now multiplying the highest exponent prime factors to calculate the LCM of 63568 and 63574.

LCM(63568,63574) = 2⁴ × 29¹ × 137¹ × 7¹ × 19¹ × 239¹
LCM(63568,63574) = 2020636016