What is the Least Common Multiple of 85554 and 85574?

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 85554 and 85574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85554 and 85574, than apply into the LCM equation.

GCF(85554,85574) = 2
LCM(85554,85574) = ( 85554 × 85574) / 2
LCM(85554,85574) = 7321197996 / 2
LCM(85554,85574) = 3660598998

Least Common Multiple (LCM) of 85554 and 85574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85554 and 85574. First we will calculate the prime factors of 85554 and 85574.

Prime Factorization of 85554

Prime Factorization of 85574

Now multiplying the highest exponent prime factors to calculate the LCM of 85554 and 85574.

LCM(85554,85574) = 2¹ × 3² × 7² × 97¹ × 42787¹
LCM(85554,85574) = 3660598998