What is the Least Common Multiple of 80540 and 80548?

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 80540 and 80548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80540 and 80548, than apply into the LCM equation.

GCF(80540,80548) = 4
LCM(80540,80548) = ( 80540 × 80548) / 4
LCM(80540,80548) = 6487335920 / 4
LCM(80540,80548) = 1621833980

Least Common Multiple (LCM) of 80540 and 80548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80540 and 80548. First we will calculate the prime factors of 80540 and 80548.

Prime Factorization of 80540

Prime Factorization of 80548

Now multiplying the highest exponent prime factors to calculate the LCM of 80540 and 80548.

LCM(80540,80548) = 2² × 5¹ × 4027¹ × 13¹ × 1549¹
LCM(80540,80548) = 1621833980