What is the Least Common Multiple of 32420 and 32438?

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 32420 and 32438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32420 and 32438, than apply into the LCM equation.

GCF(32420,32438) = 2
LCM(32420,32438) = ( 32420 × 32438) / 2
LCM(32420,32438) = 1051639960 / 2
LCM(32420,32438) = 525819980

Least Common Multiple (LCM) of 32420 and 32438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32420 and 32438. First we will calculate the prime factors of 32420 and 32438.

Prime Factorization of 32420

Prime Factorization of 32438

Now multiplying the highest exponent prime factors to calculate the LCM of 32420 and 32438.

LCM(32420,32438) = 2² × 5¹ × 1621¹ × 7² × 331¹
LCM(32420,32438) = 525819980