What is the Least Common Multiple of 62696 and 62704?

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 62696 and 62704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62696 and 62704, than apply into the LCM equation.

GCF(62696,62704) = 8
LCM(62696,62704) = ( 62696 × 62704) / 8
LCM(62696,62704) = 3931289984 / 8
LCM(62696,62704) = 491411248

Least Common Multiple (LCM) of 62696 and 62704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62696 and 62704. First we will calculate the prime factors of 62696 and 62704.

Prime Factorization of 62696

Prime Factorization of 62704

Now multiplying the highest exponent prime factors to calculate the LCM of 62696 and 62704.

LCM(62696,62704) = 2⁴ × 17¹ × 461¹ × 3919¹
LCM(62696,62704) = 491411248