What is the Least Common Multiple of 62092 and 62111?

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 62092 and 62111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62092 and 62111, than apply into the LCM equation.

GCF(62092,62111) = 19
LCM(62092,62111) = ( 62092 × 62111) / 19
LCM(62092,62111) = 3856596212 / 19
LCM(62092,62111) = 202978748

Least Common Multiple (LCM) of 62092 and 62111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62092 and 62111. First we will calculate the prime factors of 62092 and 62111.

Prime Factorization of 62092

Prime Factorization of 62111

Now multiplying the highest exponent prime factors to calculate the LCM of 62092 and 62111.

LCM(62092,62111) = 2² × 19² × 43¹ × 7¹ × 467¹
LCM(62092,62111) = 202978748