What is the Least Common Multiple of 62048 and 62060?

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 62048 and 62060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62048 and 62060, than apply into the LCM equation.

GCF(62048,62060) = 4
LCM(62048,62060) = ( 62048 × 62060) / 4
LCM(62048,62060) = 3850698880 / 4
LCM(62048,62060) = 962674720

Least Common Multiple (LCM) of 62048 and 62060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62048 and 62060. First we will calculate the prime factors of 62048 and 62060.

Prime Factorization of 62048

Prime Factorization of 62060

Now multiplying the highest exponent prime factors to calculate the LCM of 62048 and 62060.

LCM(62048,62060) = 2⁵ × 7¹ × 277¹ × 5¹ × 29¹ × 107¹
LCM(62048,62060) = 962674720