What is the Least Common Multiple of 62016 and 62028?

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 62016 and 62028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62016 and 62028, than apply into the LCM equation.

GCF(62016,62028) = 12
LCM(62016,62028) = ( 62016 × 62028) / 12
LCM(62016,62028) = 3846728448 / 12
LCM(62016,62028) = 320560704

Least Common Multiple (LCM) of 62016 and 62028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62016 and 62028. First we will calculate the prime factors of 62016 and 62028.

Prime Factorization of 62016

Prime Factorization of 62028

Now multiplying the highest exponent prime factors to calculate the LCM of 62016 and 62028.

LCM(62016,62028) = 2⁶ × 3² × 17¹ × 19¹ × 1723¹
LCM(62016,62028) = 320560704