What is the Least Common Multiple of 27561 and 27570?

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 27561 and 27570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27561 and 27570, than apply into the LCM equation.

GCF(27561,27570) = 3
LCM(27561,27570) = ( 27561 × 27570) / 3
LCM(27561,27570) = 759856770 / 3
LCM(27561,27570) = 253285590

Least Common Multiple (LCM) of 27561 and 27570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27561 and 27570. First we will calculate the prime factors of 27561 and 27570.

Prime Factorization of 27561

Prime Factorization of 27570

Now multiplying the highest exponent prime factors to calculate the LCM of 27561 and 27570.

LCM(27561,27570) = 3¹ × 9187¹ × 2¹ × 5¹ × 919¹
LCM(27561,27570) = 253285590