What is the Least Common Multiple of 62789 and 62809?

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 62789 and 62809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62789 and 62809, than apply into the LCM equation.

GCF(62789,62809) = 1
LCM(62789,62809) = ( 62789 × 62809) / 1
LCM(62789,62809) = 3943714301 / 1
LCM(62789,62809) = 3943714301

Least Common Multiple (LCM) of 62789 and 62809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62789 and 62809. First we will calculate the prime factors of 62789 and 62809.

Prime Factorization of 62789

Prime Factorization of 62809

Now multiplying the highest exponent prime factors to calculate the LCM of 62789 and 62809.

LCM(62789,62809) = 37¹ × 1697¹ × 107¹ × 587¹
LCM(62789,62809) = 3943714301