What is the Least Common Multiple of 62775 and 62795?

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 62775 and 62795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62775 and 62795, than apply into the LCM equation.

GCF(62775,62795) = 5
LCM(62775,62795) = ( 62775 × 62795) / 5
LCM(62775,62795) = 3941956125 / 5
LCM(62775,62795) = 788391225

Least Common Multiple (LCM) of 62775 and 62795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62775 and 62795. First we will calculate the prime factors of 62775 and 62795.

Prime Factorization of 62775

Prime Factorization of 62795

Now multiplying the highest exponent prime factors to calculate the LCM of 62775 and 62795.

LCM(62775,62795) = 3⁴ × 5² × 31¹ × 19¹ × 661¹
LCM(62775,62795) = 788391225