What is the Least Common Multiple of 87992 and 88009?

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 87992 and 88009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87992 and 88009, than apply into the LCM equation.

GCF(87992,88009) = 17
LCM(87992,88009) = ( 87992 × 88009) / 17
LCM(87992,88009) = 7744087928 / 17
LCM(87992,88009) = 455534584

Least Common Multiple (LCM) of 87992 and 88009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87992 and 88009. First we will calculate the prime factors of 87992 and 88009.

Prime Factorization of 87992

Prime Factorization of 88009

Now multiplying the highest exponent prime factors to calculate the LCM of 87992 and 88009.

LCM(87992,88009) = 2³ × 17¹ × 647¹ × 31¹ × 167¹
LCM(87992,88009) = 455534584