What is the Least Common Multiple of 67020 and 67028?

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 67020 and 67028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67020 and 67028, than apply into the LCM equation.

GCF(67020,67028) = 4
LCM(67020,67028) = ( 67020 × 67028) / 4
LCM(67020,67028) = 4492216560 / 4
LCM(67020,67028) = 1123054140

Least Common Multiple (LCM) of 67020 and 67028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67020 and 67028. First we will calculate the prime factors of 67020 and 67028.

Prime Factorization of 67020

Prime Factorization of 67028

Now multiplying the highest exponent prime factors to calculate the LCM of 67020 and 67028.

LCM(67020,67028) = 2² × 3¹ × 5¹ × 1117¹ × 13¹ × 1289¹
LCM(67020,67028) = 1123054140