What is the Least Common Multiple of 68574 and 68580?

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 68574 and 68580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68574 and 68580, than apply into the LCM equation.

GCF(68574,68580) = 6
LCM(68574,68580) = ( 68574 × 68580) / 6
LCM(68574,68580) = 4702804920 / 6
LCM(68574,68580) = 783800820

Least Common Multiple (LCM) of 68574 and 68580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68574 and 68580. First we will calculate the prime factors of 68574 and 68580.

Prime Factorization of 68574

Prime Factorization of 68580

Now multiplying the highest exponent prime factors to calculate the LCM of 68574 and 68580.

LCM(68574,68580) = 2² × 3³ × 11¹ × 1039¹ × 5¹ × 127¹
LCM(68574,68580) = 783800820