What is the Least Common Multiple of 78969 and 78987?

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 78969 and 78987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78969 and 78987, than apply into the LCM equation.

GCF(78969,78987) = 3
LCM(78969,78987) = ( 78969 × 78987) / 3
LCM(78969,78987) = 6237524403 / 3
LCM(78969,78987) = 2079174801

Least Common Multiple (LCM) of 78969 and 78987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78969 and 78987. First we will calculate the prime factors of 78969 and 78987.

Prime Factorization of 78969

Prime Factorization of 78987

Now multiplying the highest exponent prime factors to calculate the LCM of 78969 and 78987.

LCM(78969,78987) = 3¹ × 11¹ × 2393¹ × 113¹ × 233¹
LCM(78969,78987) = 2079174801