What is the Least Common Multiple of 64230 and 64250?

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 64230 and 64250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64230 and 64250, than apply into the LCM equation.

GCF(64230,64250) = 10
LCM(64230,64250) = ( 64230 × 64250) / 10
LCM(64230,64250) = 4126777500 / 10
LCM(64230,64250) = 412677750

Least Common Multiple (LCM) of 64230 and 64250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64230 and 64250. First we will calculate the prime factors of 64230 and 64250.

Prime Factorization of 64230

Prime Factorization of 64250

Now multiplying the highest exponent prime factors to calculate the LCM of 64230 and 64250.

LCM(64230,64250) = 2¹ × 3¹ × 5³ × 2141¹ × 257¹
LCM(64230,64250) = 412677750