What is the Least Common Multiple of 62872 and 62884?

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 62872 and 62884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62872 and 62884, than apply into the LCM equation.

GCF(62872,62884) = 4
LCM(62872,62884) = ( 62872 × 62884) / 4
LCM(62872,62884) = 3953642848 / 4
LCM(62872,62884) = 988410712

Least Common Multiple (LCM) of 62872 and 62884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62872 and 62884. First we will calculate the prime factors of 62872 and 62884.

Prime Factorization of 62872

Prime Factorization of 62884

Now multiplying the highest exponent prime factors to calculate the LCM of 62872 and 62884.

LCM(62872,62884) = 2³ × 29¹ × 271¹ × 79¹ × 199¹
LCM(62872,62884) = 988410712