What is the Least Common Multiple of 80076 and 80090?

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 80076 and 80090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80076 and 80090, than apply into the LCM equation.

GCF(80076,80090) = 2
LCM(80076,80090) = ( 80076 × 80090) / 2
LCM(80076,80090) = 6413286840 / 2
LCM(80076,80090) = 3206643420

Least Common Multiple (LCM) of 80076 and 80090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80076 and 80090. First we will calculate the prime factors of 80076 and 80090.

Prime Factorization of 80076

Prime Factorization of 80090

Now multiplying the highest exponent prime factors to calculate the LCM of 80076 and 80090.

LCM(80076,80090) = 2² × 3¹ × 6673¹ × 5¹ × 8009¹
LCM(80076,80090) = 3206643420