What is the Least Common Multiple of 88454 and 88461?

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 88454 and 88461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88454 and 88461, than apply into the LCM equation.

GCF(88454,88461) = 1
LCM(88454,88461) = ( 88454 × 88461) / 1
LCM(88454,88461) = 7824729294 / 1
LCM(88454,88461) = 7824729294

Least Common Multiple (LCM) of 88454 and 88461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88454 and 88461. First we will calculate the prime factors of 88454 and 88461.

Prime Factorization of 88454

Prime Factorization of 88461

Now multiplying the highest exponent prime factors to calculate the LCM of 88454 and 88461.

LCM(88454,88461) = 2¹ × 47¹ × 941¹ × 3² × 9829¹
LCM(88454,88461) = 7824729294