What is the Least Common Multiple of 62028 and 62046?

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 62028 and 62046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62028 and 62046, than apply into the LCM equation.

GCF(62028,62046) = 18
LCM(62028,62046) = ( 62028 × 62046) / 18
LCM(62028,62046) = 3848589288 / 18
LCM(62028,62046) = 213810516

Least Common Multiple (LCM) of 62028 and 62046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62028 and 62046. First we will calculate the prime factors of 62028 and 62046.

Prime Factorization of 62028

Prime Factorization of 62046

Now multiplying the highest exponent prime factors to calculate the LCM of 62028 and 62046.

LCM(62028,62046) = 2² × 3⁴ × 1723¹ × 383¹
LCM(62028,62046) = 213810516