What is the Least Common Multiple of 71242 and 71248?

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 71242 and 71248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71242 and 71248, than apply into the LCM equation.

GCF(71242,71248) = 2
LCM(71242,71248) = ( 71242 × 71248) / 2
LCM(71242,71248) = 5075850016 / 2
LCM(71242,71248) = 2537925008

Least Common Multiple (LCM) of 71242 and 71248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71242 and 71248. First we will calculate the prime factors of 71242 and 71248.

Prime Factorization of 71242

Prime Factorization of 71248

Now multiplying the highest exponent prime factors to calculate the LCM of 71242 and 71248.

LCM(71242,71248) = 2⁴ × 179¹ × 199¹ × 61¹ × 73¹
LCM(71242,71248) = 2537925008