What is the Least Common Multiple of 62292 and 62311?

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 62292 and 62311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62292 and 62311, than apply into the LCM equation.

GCF(62292,62311) = 1
LCM(62292,62311) = ( 62292 × 62311) / 1
LCM(62292,62311) = 3881476812 / 1
LCM(62292,62311) = 3881476812

Least Common Multiple (LCM) of 62292 and 62311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62292 and 62311. First we will calculate the prime factors of 62292 and 62311.

Prime Factorization of 62292

Prime Factorization of 62311

Now multiplying the highest exponent prime factors to calculate the LCM of 62292 and 62311.

LCM(62292,62311) = 2² × 3¹ × 29¹ × 179¹ × 62311¹
LCM(62292,62311) = 3881476812