What is the Least Common Multiple of 38020 and 38028?

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 38020 and 38028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38020 and 38028, than apply into the LCM equation.

GCF(38020,38028) = 4
LCM(38020,38028) = ( 38020 × 38028) / 4
LCM(38020,38028) = 1445824560 / 4
LCM(38020,38028) = 361456140

Least Common Multiple (LCM) of 38020 and 38028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38020 and 38028. First we will calculate the prime factors of 38020 and 38028.

Prime Factorization of 38020

Prime Factorization of 38028

Now multiplying the highest exponent prime factors to calculate the LCM of 38020 and 38028.

LCM(38020,38028) = 2² × 5¹ × 1901¹ × 3¹ × 3169¹
LCM(38020,38028) = 361456140