What is the Least Common Multiple of 72834 and 72853?

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 72834 and 72853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72834 and 72853, than apply into the LCM equation.

GCF(72834,72853) = 1
LCM(72834,72853) = ( 72834 × 72853) / 1
LCM(72834,72853) = 5306175402 / 1
LCM(72834,72853) = 5306175402

Least Common Multiple (LCM) of 72834 and 72853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72834 and 72853. First we will calculate the prime factors of 72834 and 72853.

Prime Factorization of 72834

Prime Factorization of 72853

Now multiplying the highest exponent prime factors to calculate the LCM of 72834 and 72853.

LCM(72834,72853) = 2¹ × 3¹ × 61¹ × 199¹ × 11¹ × 37¹ × 179¹
LCM(72834,72853) = 5306175402