What is the Least Common Multiple of 83080 and 83088?

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 83080 and 83088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83080 and 83088, than apply into the LCM equation.

GCF(83080,83088) = 8
LCM(83080,83088) = ( 83080 × 83088) / 8
LCM(83080,83088) = 6902951040 / 8
LCM(83080,83088) = 862868880

Least Common Multiple (LCM) of 83080 and 83088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83080 and 83088. First we will calculate the prime factors of 83080 and 83088.

Prime Factorization of 83080

Prime Factorization of 83088

Now multiplying the highest exponent prime factors to calculate the LCM of 83080 and 83088.

LCM(83080,83088) = 2⁴ × 5¹ × 31¹ × 67¹ × 3² × 577¹
LCM(83080,83088) = 862868880