What is the Least Common Multiple of 62250 and 62265?

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 62250 and 62265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62250 and 62265, than apply into the LCM equation.

GCF(62250,62265) = 15
LCM(62250,62265) = ( 62250 × 62265) / 15
LCM(62250,62265) = 3875996250 / 15
LCM(62250,62265) = 258399750

Least Common Multiple (LCM) of 62250 and 62265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62250 and 62265. First we will calculate the prime factors of 62250 and 62265.

Prime Factorization of 62250

Prime Factorization of 62265

Now multiplying the highest exponent prime factors to calculate the LCM of 62250 and 62265.

LCM(62250,62265) = 2¹ × 3¹ × 5³ × 83¹ × 7¹ × 593¹
LCM(62250,62265) = 258399750