What is the Least Common Multiple of 72846 and 72865?

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 72846 and 72865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72846 and 72865, than apply into the LCM equation.

GCF(72846,72865) = 19
LCM(72846,72865) = ( 72846 × 72865) / 19
LCM(72846,72865) = 5307923790 / 19
LCM(72846,72865) = 279364410

Least Common Multiple (LCM) of 72846 and 72865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72846 and 72865. First we will calculate the prime factors of 72846 and 72865.

Prime Factorization of 72846

Prime Factorization of 72865

Now multiplying the highest exponent prime factors to calculate the LCM of 72846 and 72865.

LCM(72846,72865) = 2¹ × 3³ × 19¹ × 71¹ × 5¹ × 13¹ × 59¹
LCM(72846,72865) = 279364410