What is the Least Common Multiple of 77874 and 77883?

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 77883 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 77883, than apply into the LCM equation.

GCF(77874,77883) = 3
LCM(77874,77883) = ( 77874 × 77883) / 3
LCM(77874,77883) = 6065060742 / 3
LCM(77874,77883) = 2021686914

Least Common Multiple (LCM) of 77874 and 77883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77874 and 77883. First we will calculate the prime factors of 77874 and 77883.

Prime Factorization of 77874

Prime Factorization of 77883

Now multiplying the highest exponent prime factors to calculate the LCM of 77874 and 77883.

LCM(77874,77883) = 2¹ × 3¹ × 12979¹ × 13¹ × 1997¹
LCM(77874,77883) = 2021686914