What is the Least Common Multiple of 88914 and 88923?

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 88914 and 88923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88914 and 88923, than apply into the LCM equation.

GCF(88914,88923) = 3
LCM(88914,88923) = ( 88914 × 88923) / 3
LCM(88914,88923) = 7906499622 / 3
LCM(88914,88923) = 2635499874

Least Common Multiple (LCM) of 88914 and 88923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88914 and 88923. First we will calculate the prime factors of 88914 and 88923.

Prime Factorization of 88914

Prime Factorization of 88923

Now multiplying the highest exponent prime factors to calculate the LCM of 88914 and 88923.

LCM(88914,88923) = 2¹ × 3¹ × 7¹ × 29¹ × 73¹ × 29641¹
LCM(88914,88923) = 2635499874