What is the Least Common Multiple of 72930 and 72947?

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 72930 and 72947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72930 and 72947, than apply into the LCM equation.

GCF(72930,72947) = 17
LCM(72930,72947) = ( 72930 × 72947) / 17
LCM(72930,72947) = 5320024710 / 17
LCM(72930,72947) = 312942630

Least Common Multiple (LCM) of 72930 and 72947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72930 and 72947. First we will calculate the prime factors of 72930 and 72947.

Prime Factorization of 72930

Prime Factorization of 72947

Now multiplying the highest exponent prime factors to calculate the LCM of 72930 and 72947.

LCM(72930,72947) = 2¹ × 3¹ × 5¹ × 11¹ × 13¹ × 17¹ × 7¹ × 613¹
LCM(72930,72947) = 312942630