What is the Least Common Multiple of 62900 and 62917?

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 62900 and 62917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62900 and 62917, than apply into the LCM equation.

GCF(62900,62917) = 17
LCM(62900,62917) = ( 62900 × 62917) / 17
LCM(62900,62917) = 3957479300 / 17
LCM(62900,62917) = 232792900

Least Common Multiple (LCM) of 62900 and 62917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62900 and 62917. First we will calculate the prime factors of 62900 and 62917.

Prime Factorization of 62900

Prime Factorization of 62917

Now multiplying the highest exponent prime factors to calculate the LCM of 62900 and 62917.

LCM(62900,62917) = 2² × 5² × 17¹ × 37¹ × 3701¹
LCM(62900,62917) = 232792900