What is the Least Common Multiple of 40578 and 40584?

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 40578 and 40584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40578 and 40584, than apply into the LCM equation.

GCF(40578,40584) = 6
LCM(40578,40584) = ( 40578 × 40584) / 6
LCM(40578,40584) = 1646817552 / 6
LCM(40578,40584) = 274469592

Least Common Multiple (LCM) of 40578 and 40584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40578 and 40584. First we will calculate the prime factors of 40578 and 40584.

Prime Factorization of 40578

Prime Factorization of 40584

Now multiplying the highest exponent prime factors to calculate the LCM of 40578 and 40584.

LCM(40578,40584) = 2³ × 3¹ × 6763¹ × 19¹ × 89¹
LCM(40578,40584) = 274469592