What is the Least Common Multiple of 62112 and 62121?

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 62112 and 62121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62112 and 62121, than apply into the LCM equation.

GCF(62112,62121) = 3
LCM(62112,62121) = ( 62112 × 62121) / 3
LCM(62112,62121) = 3858459552 / 3
LCM(62112,62121) = 1286153184

Least Common Multiple (LCM) of 62112 and 62121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62112 and 62121. First we will calculate the prime factors of 62112 and 62121.

Prime Factorization of 62112

Prime Factorization of 62121

Now multiplying the highest exponent prime factors to calculate the LCM of 62112 and 62121.

LCM(62112,62121) = 2⁵ × 3¹ × 647¹ × 20707¹
LCM(62112,62121) = 1286153184