What is the Least Common Multiple of 88435 and 88453?

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 88435 and 88453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88435 and 88453, than apply into the LCM equation.

GCF(88435,88453) = 1
LCM(88435,88453) = ( 88435 × 88453) / 1
LCM(88435,88453) = 7822341055 / 1
LCM(88435,88453) = 7822341055

Least Common Multiple (LCM) of 88435 and 88453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88435 and 88453. First we will calculate the prime factors of 88435 and 88453.

Prime Factorization of 88435

Prime Factorization of 88453

Now multiplying the highest exponent prime factors to calculate the LCM of 88435 and 88453.

LCM(88435,88453) = 5¹ × 23¹ × 769¹ × 197¹ × 449¹
LCM(88435,88453) = 7822341055