What is the Least Common Multiple of 77874 and 77880?

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 77874 and 77880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77874 and 77880, than apply into the LCM equation.

GCF(77874,77880) = 6
LCM(77874,77880) = ( 77874 × 77880) / 6
LCM(77874,77880) = 6064827120 / 6
LCM(77874,77880) = 1010804520

Least Common Multiple (LCM) of 77874 and 77880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77874 and 77880. First we will calculate the prime factors of 77874 and 77880.

Prime Factorization of 77874

Prime Factorization of 77880

Now multiplying the highest exponent prime factors to calculate the LCM of 77874 and 77880.

LCM(77874,77880) = 2³ × 3¹ × 12979¹ × 5¹ × 11¹ × 59¹
LCM(77874,77880) = 1010804520