What is the Least Common Multiple of 62905 and 62922?

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 62905 and 62922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62905 and 62922, than apply into the LCM equation.

GCF(62905,62922) = 1
LCM(62905,62922) = ( 62905 × 62922) / 1
LCM(62905,62922) = 3958108410 / 1
LCM(62905,62922) = 3958108410

Least Common Multiple (LCM) of 62905 and 62922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62905 and 62922. First we will calculate the prime factors of 62905 and 62922.

Prime Factorization of 62905

Prime Factorization of 62922

Now multiplying the highest exponent prime factors to calculate the LCM of 62905 and 62922.

LCM(62905,62922) = 5¹ × 23¹ × 547¹ × 2¹ × 3¹ × 10487¹
LCM(62905,62922) = 3958108410