What is the Least Common Multiple of 66409 and 66425?

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 66409 and 66425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66409 and 66425, than apply into the LCM equation.

GCF(66409,66425) = 1
LCM(66409,66425) = ( 66409 × 66425) / 1
LCM(66409,66425) = 4411217825 / 1
LCM(66409,66425) = 4411217825

Least Common Multiple (LCM) of 66409 and 66425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66409 and 66425. First we will calculate the prime factors of 66409 and 66425.

Prime Factorization of 66409

Prime Factorization of 66425

Now multiplying the highest exponent prime factors to calculate the LCM of 66409 and 66425.

LCM(66409,66425) = 7¹ × 53¹ × 179¹ × 5² × 2657¹
LCM(66409,66425) = 4411217825