What is the Least Common Multiple of 72944 and 72955?

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 72944 and 72955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72944 and 72955, than apply into the LCM equation.

GCF(72944,72955) = 1
LCM(72944,72955) = ( 72944 × 72955) / 1
LCM(72944,72955) = 5321629520 / 1
LCM(72944,72955) = 5321629520

Least Common Multiple (LCM) of 72944 and 72955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72944 and 72955. First we will calculate the prime factors of 72944 and 72955.

Prime Factorization of 72944

Prime Factorization of 72955

Now multiplying the highest exponent prime factors to calculate the LCM of 72944 and 72955.

LCM(72944,72955) = 2⁴ × 47¹ × 97¹ × 5¹ × 14591¹
LCM(72944,72955) = 5321629520