What is the Least Common Multiple of 88420 and 88434?

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 88420 and 88434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88420 and 88434, than apply into the LCM equation.

GCF(88420,88434) = 2
LCM(88420,88434) = ( 88420 × 88434) / 2
LCM(88420,88434) = 7819334280 / 2
LCM(88420,88434) = 3909667140

Least Common Multiple (LCM) of 88420 and 88434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88420 and 88434. First we will calculate the prime factors of 88420 and 88434.

Prime Factorization of 88420

Prime Factorization of 88434

Now multiplying the highest exponent prime factors to calculate the LCM of 88420 and 88434.

LCM(88420,88434) = 2² × 5¹ × 4421¹ × 3² × 17³
LCM(88420,88434) = 3909667140