What is the Least Common Multiple of 88420 and 88438?

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 88438 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 88438, than apply into the LCM equation.

GCF(88420,88438) = 2
LCM(88420,88438) = ( 88420 × 88438) / 2
LCM(88420,88438) = 7819687960 / 2
LCM(88420,88438) = 3909843980

Least Common Multiple (LCM) of 88420 and 88438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88420 and 88438. First we will calculate the prime factors of 88420 and 88438.

Prime Factorization of 88420

Prime Factorization of 88438

Now multiplying the highest exponent prime factors to calculate the LCM of 88420 and 88438.

LCM(88420,88438) = 2² × 5¹ × 4421¹ × 7¹ × 6317¹
LCM(88420,88438) = 3909843980