What is the Least Common Multiple of 66578 and 66584?

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 66578 and 66584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66578 and 66584, than apply into the LCM equation.

GCF(66578,66584) = 2
LCM(66578,66584) = ( 66578 × 66584) / 2
LCM(66578,66584) = 4433029552 / 2
LCM(66578,66584) = 2216514776

Least Common Multiple (LCM) of 66578 and 66584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66578 and 66584. First we will calculate the prime factors of 66578 and 66584.

Prime Factorization of 66578

Prime Factorization of 66584

Now multiplying the highest exponent prime factors to calculate the LCM of 66578 and 66584.

LCM(66578,66584) = 2³ × 33289¹ × 7¹ × 29¹ × 41¹
LCM(66578,66584) = 2216514776