What is the Least Common Multiple of 34020 and 34028?

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 34020 and 34028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34020 and 34028, than apply into the LCM equation.

GCF(34020,34028) = 4
LCM(34020,34028) = ( 34020 × 34028) / 4
LCM(34020,34028) = 1157632560 / 4
LCM(34020,34028) = 289408140

Least Common Multiple (LCM) of 34020 and 34028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34020 and 34028. First we will calculate the prime factors of 34020 and 34028.

Prime Factorization of 34020

Prime Factorization of 34028

Now multiplying the highest exponent prime factors to calculate the LCM of 34020 and 34028.

LCM(34020,34028) = 2² × 3⁵ × 5¹ × 7¹ × 47¹ × 181¹
LCM(34020,34028) = 289408140