What is the Least Common Multiple of 88574 and 88588?

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 88574 and 88588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88574 and 88588, than apply into the LCM equation.

GCF(88574,88588) = 2
LCM(88574,88588) = ( 88574 × 88588) / 2
LCM(88574,88588) = 7846593512 / 2
LCM(88574,88588) = 3923296756

Least Common Multiple (LCM) of 88574 and 88588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88574 and 88588. First we will calculate the prime factors of 88574 and 88588.

Prime Factorization of 88574

Prime Factorization of 88588

Now multiplying the highest exponent prime factors to calculate the LCM of 88574 and 88588.

LCM(88574,88588) = 2² × 67¹ × 661¹ × 22147¹
LCM(88574,88588) = 3923296756