What is the Least Common Multiple of 72874 and 72888?

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 72874 and 72888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72874 and 72888, than apply into the LCM equation.

GCF(72874,72888) = 2
LCM(72874,72888) = ( 72874 × 72888) / 2
LCM(72874,72888) = 5311640112 / 2
LCM(72874,72888) = 2655820056

Least Common Multiple (LCM) of 72874 and 72888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72874 and 72888. First we will calculate the prime factors of 72874 and 72888.

Prime Factorization of 72874

Prime Factorization of 72888

Now multiplying the highest exponent prime factors to calculate the LCM of 72874 and 72888.

LCM(72874,72888) = 2³ × 83¹ × 439¹ × 3¹ × 3037¹
LCM(72874,72888) = 2655820056