What is the Least Common Multiple of 63425 and 63442?

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 63425 and 63442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63425 and 63442, than apply into the LCM equation.

GCF(63425,63442) = 1
LCM(63425,63442) = ( 63425 × 63442) / 1
LCM(63425,63442) = 4023808850 / 1
LCM(63425,63442) = 4023808850

Least Common Multiple (LCM) of 63425 and 63442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63425 and 63442. First we will calculate the prime factors of 63425 and 63442.

Prime Factorization of 63425

Prime Factorization of 63442

Now multiplying the highest exponent prime factors to calculate the LCM of 63425 and 63442.

LCM(63425,63442) = 5² × 43¹ × 59¹ × 2¹ × 31721¹
LCM(63425,63442) = 4023808850