What is the Least Common Multiple of 80374 and 80380?

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 80374 and 80380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80374 and 80380, than apply into the LCM equation.

GCF(80374,80380) = 2
LCM(80374,80380) = ( 80374 × 80380) / 2
LCM(80374,80380) = 6460462120 / 2
LCM(80374,80380) = 3230231060

Least Common Multiple (LCM) of 80374 and 80380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80374 and 80380. First we will calculate the prime factors of 80374 and 80380.

Prime Factorization of 80374

Prime Factorization of 80380

Now multiplying the highest exponent prime factors to calculate the LCM of 80374 and 80380.

LCM(80374,80380) = 2² × 7¹ × 5741¹ × 5¹ × 4019¹
LCM(80374,80380) = 3230231060