What is the Least Common Multiple of 88032 and 88046?

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 88032 and 88046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88032 and 88046, than apply into the LCM equation.

GCF(88032,88046) = 14
LCM(88032,88046) = ( 88032 × 88046) / 14
LCM(88032,88046) = 7750865472 / 14
LCM(88032,88046) = 553633248

Least Common Multiple (LCM) of 88032 and 88046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88032 and 88046. First we will calculate the prime factors of 88032 and 88046.

Prime Factorization of 88032

Prime Factorization of 88046

Now multiplying the highest exponent prime factors to calculate the LCM of 88032 and 88046.

LCM(88032,88046) = 2⁵ × 3¹ × 7¹ × 131¹ × 19¹ × 331¹
LCM(88032,88046) = 553633248