What is the Least Common Multiple of 71650 and 71666?

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 71650 and 71666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71650 and 71666, than apply into the LCM equation.

GCF(71650,71666) = 2
LCM(71650,71666) = ( 71650 × 71666) / 2
LCM(71650,71666) = 5134868900 / 2
LCM(71650,71666) = 2567434450

Least Common Multiple (LCM) of 71650 and 71666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71650 and 71666. First we will calculate the prime factors of 71650 and 71666.

Prime Factorization of 71650

Prime Factorization of 71666

Now multiplying the highest exponent prime factors to calculate the LCM of 71650 and 71666.

LCM(71650,71666) = 2¹ × 5² × 1433¹ × 7¹ × 5119¹
LCM(71650,71666) = 2567434450