What is the Least Common Multiple of 62844 and 62848?

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 62844 and 62848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62844 and 62848, than apply into the LCM equation.

GCF(62844,62848) = 4
LCM(62844,62848) = ( 62844 × 62848) / 4
LCM(62844,62848) = 3949619712 / 4
LCM(62844,62848) = 987404928

Least Common Multiple (LCM) of 62844 and 62848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62844 and 62848. First we will calculate the prime factors of 62844 and 62848.

Prime Factorization of 62844

Prime Factorization of 62848

Now multiplying the highest exponent prime factors to calculate the LCM of 62844 and 62848.

LCM(62844,62848) = 2⁷ × 3¹ × 5237¹ × 491¹
LCM(62844,62848) = 987404928