What is the Least Common Multiple of 62270 and 62275?

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 62270 and 62275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62270 and 62275, than apply into the LCM equation.

GCF(62270,62275) = 5
LCM(62270,62275) = ( 62270 × 62275) / 5
LCM(62270,62275) = 3877864250 / 5
LCM(62270,62275) = 775572850

Least Common Multiple (LCM) of 62270 and 62275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62270 and 62275. First we will calculate the prime factors of 62270 and 62275.

Prime Factorization of 62270

Prime Factorization of 62275

Now multiplying the highest exponent prime factors to calculate the LCM of 62270 and 62275.

LCM(62270,62275) = 2¹ × 5² × 13¹ × 479¹ × 47¹ × 53¹
LCM(62270,62275) = 775572850