What is the Least Common Multiple of 64250 and 64254?

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 64250 and 64254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64250 and 64254, than apply into the LCM equation.

GCF(64250,64254) = 2
LCM(64250,64254) = ( 64250 × 64254) / 2
LCM(64250,64254) = 4128319500 / 2
LCM(64250,64254) = 2064159750

Least Common Multiple (LCM) of 64250 and 64254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64250 and 64254. First we will calculate the prime factors of 64250 and 64254.

Prime Factorization of 64250

Prime Factorization of 64254

Now multiplying the highest exponent prime factors to calculate the LCM of 64250 and 64254.

LCM(64250,64254) = 2¹ × 5³ × 257¹ × 3¹ × 10709¹
LCM(64250,64254) = 2064159750