What is the Least Common Multiple of 62898 and 62906?

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 62898 and 62906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62898 and 62906, than apply into the LCM equation.

GCF(62898,62906) = 2
LCM(62898,62906) = ( 62898 × 62906) / 2
LCM(62898,62906) = 3956661588 / 2
LCM(62898,62906) = 1978330794

Least Common Multiple (LCM) of 62898 and 62906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62898 and 62906. First we will calculate the prime factors of 62898 and 62906.

Prime Factorization of 62898

Prime Factorization of 62906

Now multiplying the highest exponent prime factors to calculate the LCM of 62898 and 62906.

LCM(62898,62906) = 2¹ × 3¹ × 11¹ × 953¹ × 71¹ × 443¹
LCM(62898,62906) = 1978330794