What is the Least Common Multiple of 72838 and 72854?

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 72838 and 72854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72838 and 72854, than apply into the LCM equation.

GCF(72838,72854) = 2
LCM(72838,72854) = ( 72838 × 72854) / 2
LCM(72838,72854) = 5306539652 / 2
LCM(72838,72854) = 2653269826

Least Common Multiple (LCM) of 72838 and 72854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72838 and 72854. First we will calculate the prime factors of 72838 and 72854.

Prime Factorization of 72838

Prime Factorization of 72854

Now multiplying the highest exponent prime factors to calculate the LCM of 72838 and 72854.

LCM(72838,72854) = 2¹ × 79¹ × 461¹ × 73¹ × 499¹
LCM(72838,72854) = 2653269826