What is the Least Common Multiple of 62925 and 62934?

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 62925 and 62934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62925 and 62934, than apply into the LCM equation.

GCF(62925,62934) = 3
LCM(62925,62934) = ( 62925 × 62934) / 3
LCM(62925,62934) = 3960121950 / 3
LCM(62925,62934) = 1320040650

Least Common Multiple (LCM) of 62925 and 62934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62925 and 62934. First we will calculate the prime factors of 62925 and 62934.

Prime Factorization of 62925

Prime Factorization of 62934

Now multiplying the highest exponent prime factors to calculate the LCM of 62925 and 62934.

LCM(62925,62934) = 3¹ × 5² × 839¹ × 2¹ × 17¹ × 617¹
LCM(62925,62934) = 1320040650