What is the Least Common Multiple of 62004 and 62012?

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 62004 and 62012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62004 and 62012, than apply into the LCM equation.

GCF(62004,62012) = 4
LCM(62004,62012) = ( 62004 × 62012) / 4
LCM(62004,62012) = 3844992048 / 4
LCM(62004,62012) = 961248012

Least Common Multiple (LCM) of 62004 and 62012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62004 and 62012. First we will calculate the prime factors of 62004 and 62012.

Prime Factorization of 62004

Prime Factorization of 62012

Now multiplying the highest exponent prime factors to calculate the LCM of 62004 and 62012.

LCM(62004,62012) = 2² × 3¹ × 5167¹ × 37¹ × 419¹
LCM(62004,62012) = 961248012