What is the Least Common Multiple of 3561 and 3580?

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 3561 and 3580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3561 and 3580, than apply into the LCM equation.

GCF(3561,3580) = 1
LCM(3561,3580) = ( 3561 × 3580) / 1
LCM(3561,3580) = 12748380 / 1
LCM(3561,3580) = 12748380

Least Common Multiple (LCM) of 3561 and 3580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3561 and 3580. First we will calculate the prime factors of 3561 and 3580.

Prime Factorization of 3561

Prime Factorization of 3580

Now multiplying the highest exponent prime factors to calculate the LCM of 3561 and 3580.

LCM(3561,3580) = 3¹ × 1187¹ × 2² × 5¹ × 179¹
LCM(3561,3580) = 12748380