What is the Least Common Multiple of 72954 and 72966?

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 72954 and 72966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72954 and 72966, than apply into the LCM equation.

GCF(72954,72966) = 6
LCM(72954,72966) = ( 72954 × 72966) / 6
LCM(72954,72966) = 5323161564 / 6
LCM(72954,72966) = 887193594

Least Common Multiple (LCM) of 72954 and 72966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72954 and 72966. First we will calculate the prime factors of 72954 and 72966.

Prime Factorization of 72954

Prime Factorization of 72966

Now multiplying the highest exponent prime factors to calculate the LCM of 72954 and 72966.

LCM(72954,72966) = 2¹ × 3³ × 7¹ × 193¹ × 12161¹
LCM(72954,72966) = 887193594