What is the Least Common Multiple of 77559 and 77574?

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 77559 and 77574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77559 and 77574, than apply into the LCM equation.

GCF(77559,77574) = 3
LCM(77559,77574) = ( 77559 × 77574) / 3
LCM(77559,77574) = 6016561866 / 3
LCM(77559,77574) = 2005520622

Least Common Multiple (LCM) of 77559 and 77574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77559 and 77574. First we will calculate the prime factors of 77559 and 77574.

Prime Factorization of 77559

Prime Factorization of 77574

Now multiplying the highest exponent prime factors to calculate the LCM of 77559 and 77574.

LCM(77559,77574) = 3¹ × 103¹ × 251¹ × 2¹ × 7¹ × 1847¹
LCM(77559,77574) = 2005520622