What is the Least Common Multiple of 72060 and 72068?

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 72060 and 72068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72060 and 72068, than apply into the LCM equation.

GCF(72060,72068) = 4
LCM(72060,72068) = ( 72060 × 72068) / 4
LCM(72060,72068) = 5193220080 / 4
LCM(72060,72068) = 1298305020

Least Common Multiple (LCM) of 72060 and 72068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72060 and 72068. First we will calculate the prime factors of 72060 and 72068.

Prime Factorization of 72060

Prime Factorization of 72068

Now multiplying the highest exponent prime factors to calculate the LCM of 72060 and 72068.

LCM(72060,72068) = 2² × 3¹ × 5¹ × 1201¹ × 43¹ × 419¹
LCM(72060,72068) = 1298305020