What is the Least Common Multiple of 98565 and 98574?

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 98565 and 98574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98565 and 98574, than apply into the LCM equation.

GCF(98565,98574) = 3
LCM(98565,98574) = ( 98565 × 98574) / 3
LCM(98565,98574) = 9715946310 / 3
LCM(98565,98574) = 3238648770

Least Common Multiple (LCM) of 98565 and 98574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98565 and 98574. First we will calculate the prime factors of 98565 and 98574.

Prime Factorization of 98565

Prime Factorization of 98574

Now multiplying the highest exponent prime factors to calculate the LCM of 98565 and 98574.

LCM(98565,98574) = 3¹ × 5¹ × 6571¹ × 2¹ × 7¹ × 2347¹
LCM(98565,98574) = 3238648770