What is the Least Common Multiple of 80420 and 80438?

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 80420 and 80438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80420 and 80438, than apply into the LCM equation.

GCF(80420,80438) = 2
LCM(80420,80438) = ( 80420 × 80438) / 2
LCM(80420,80438) = 6468823960 / 2
LCM(80420,80438) = 3234411980

Least Common Multiple (LCM) of 80420 and 80438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80420 and 80438. First we will calculate the prime factors of 80420 and 80438.

Prime Factorization of 80420

Prime Factorization of 80438

Now multiplying the highest exponent prime factors to calculate the LCM of 80420 and 80438.

LCM(80420,80438) = 2² × 5¹ × 4021¹ × 37¹ × 1087¹
LCM(80420,80438) = 3234411980