What is the Least Common Multiple of 88749 and 88754?

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 88749 and 88754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88749 and 88754, than apply into the LCM equation.

GCF(88749,88754) = 1
LCM(88749,88754) = ( 88749 × 88754) / 1
LCM(88749,88754) = 7876828746 / 1
LCM(88749,88754) = 7876828746

Least Common Multiple (LCM) of 88749 and 88754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88749 and 88754. First we will calculate the prime factors of 88749 and 88754.

Prime Factorization of 88749

Prime Factorization of 88754

Now multiplying the highest exponent prime factors to calculate the LCM of 88749 and 88754.

LCM(88749,88754) = 3³ × 19¹ × 173¹ × 2¹ × 199¹ × 223¹
LCM(88749,88754) = 7876828746