What is the Least Common Multiple of 62105 and 62125?

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 62105 and 62125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62105 and 62125, than apply into the LCM equation.

GCF(62105,62125) = 5
LCM(62105,62125) = ( 62105 × 62125) / 5
LCM(62105,62125) = 3858273125 / 5
LCM(62105,62125) = 771654625

Least Common Multiple (LCM) of 62105 and 62125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62105 and 62125. First we will calculate the prime factors of 62105 and 62125.

Prime Factorization of 62105

Prime Factorization of 62125

Now multiplying the highest exponent prime factors to calculate the LCM of 62105 and 62125.

LCM(62105,62125) = 5³ × 12421¹ × 7¹ × 71¹
LCM(62105,62125) = 771654625