What is the Least Common Multiple of 62235 and 62250?

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 62235 and 62250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62235 and 62250, than apply into the LCM equation.

GCF(62235,62250) = 15
LCM(62235,62250) = ( 62235 × 62250) / 15
LCM(62235,62250) = 3874128750 / 15
LCM(62235,62250) = 258275250

Least Common Multiple (LCM) of 62235 and 62250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62235 and 62250. First we will calculate the prime factors of 62235 and 62250.

Prime Factorization of 62235

Prime Factorization of 62250

Now multiplying the highest exponent prime factors to calculate the LCM of 62235 and 62250.

LCM(62235,62250) = 3³ × 5³ × 461¹ × 2¹ × 83¹
LCM(62235,62250) = 258275250