What is the Least Common Multiple of 77556 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 77556 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 77556 and 77574, than apply into the LCM equation.

GCF(77556,77574) = 6
LCM(77556,77574) = ( 77556 × 77574) / 6
LCM(77556,77574) = 6016329144 / 6
LCM(77556,77574) = 1002721524

Least Common Multiple (LCM) of 77556 and 77574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77556 and 77574. First we will calculate the prime factors of 77556 and 77574.

Prime Factorization of 77556

Prime Factorization of 77574

Now multiplying the highest exponent prime factors to calculate the LCM of 77556 and 77574.

LCM(77556,77574) = 2² × 3¹ × 23¹ × 281¹ × 7¹ × 1847¹
LCM(77556,77574) = 1002721524