What is the Least Common Multiple of 77994 and 78009?

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 77994 and 78009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77994 and 78009, than apply into the LCM equation.

GCF(77994,78009) = 3
LCM(77994,78009) = ( 77994 × 78009) / 3
LCM(77994,78009) = 6084233946 / 3
LCM(77994,78009) = 2028077982

Least Common Multiple (LCM) of 77994 and 78009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77994 and 78009. First we will calculate the prime factors of 77994 and 78009.

Prime Factorization of 77994

Prime Factorization of 78009

Now multiplying the highest exponent prime factors to calculate the LCM of 77994 and 78009.

LCM(77994,78009) = 2¹ × 3² × 7¹ × 619¹ × 26003¹
LCM(77994,78009) = 2028077982