What is the Least Common Multiple of 1546 and 1561?

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 1546 and 1561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1546 and 1561, than apply into the LCM equation.

GCF(1546,1561) = 1
LCM(1546,1561) = ( 1546 × 1561) / 1
LCM(1546,1561) = 2413306 / 1
LCM(1546,1561) = 2413306

Least Common Multiple (LCM) of 1546 and 1561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1546 and 1561. First we will calculate the prime factors of 1546 and 1561.

Prime Factorization of 1546

Prime Factorization of 1561

Now multiplying the highest exponent prime factors to calculate the LCM of 1546 and 1561.

LCM(1546,1561) = 2¹ × 773¹ × 7¹ × 223¹
LCM(1546,1561) = 2413306