What is the Least Common Multiple of 48561 and 48574?

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 48561 and 48574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48561 and 48574, than apply into the LCM equation.

GCF(48561,48574) = 1
LCM(48561,48574) = ( 48561 × 48574) / 1
LCM(48561,48574) = 2358802014 / 1
LCM(48561,48574) = 2358802014

Least Common Multiple (LCM) of 48561 and 48574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48561 and 48574. First we will calculate the prime factors of 48561 and 48574.

Prime Factorization of 48561

Prime Factorization of 48574

Now multiplying the highest exponent prime factors to calculate the LCM of 48561 and 48574.

LCM(48561,48574) = 3¹ × 16187¹ × 2¹ × 149¹ × 163¹
LCM(48561,48574) = 2358802014