What is the Least Common Multiple of 80416 and 80434?

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 80416 and 80434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80416 and 80434, than apply into the LCM equation.

GCF(80416,80434) = 2
LCM(80416,80434) = ( 80416 × 80434) / 2
LCM(80416,80434) = 6468180544 / 2
LCM(80416,80434) = 3234090272

Least Common Multiple (LCM) of 80416 and 80434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80416 and 80434. First we will calculate the prime factors of 80416 and 80434.

Prime Factorization of 80416

Prime Factorization of 80434

Now multiplying the highest exponent prime factors to calculate the LCM of 80416 and 80434.

LCM(80416,80434) = 2⁵ × 7¹ × 359¹ × 131¹ × 307¹
LCM(80416,80434) = 3234090272