What is the Least Common Multiple of 78924 and 78940?

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 78924 and 78940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78924 and 78940, than apply into the LCM equation.

GCF(78924,78940) = 4
LCM(78924,78940) = ( 78924 × 78940) / 4
LCM(78924,78940) = 6230260560 / 4
LCM(78924,78940) = 1557565140

Least Common Multiple (LCM) of 78924 and 78940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78924 and 78940. First we will calculate the prime factors of 78924 and 78940.

Prime Factorization of 78924

Prime Factorization of 78940

Now multiplying the highest exponent prime factors to calculate the LCM of 78924 and 78940.

LCM(78924,78940) = 2² × 3¹ × 6577¹ × 5¹ × 3947¹
LCM(78924,78940) = 1557565140