What is the Least Common Multiple of 77478 and 77496?

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 77478 and 77496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77478 and 77496, than apply into the LCM equation.

GCF(77478,77496) = 6
LCM(77478,77496) = ( 77478 × 77496) / 6
LCM(77478,77496) = 6004235088 / 6
LCM(77478,77496) = 1000705848

Least Common Multiple (LCM) of 77478 and 77496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77478 and 77496. First we will calculate the prime factors of 77478 and 77496.

Prime Factorization of 77478

Prime Factorization of 77496

Now multiplying the highest exponent prime factors to calculate the LCM of 77478 and 77496.

LCM(77478,77496) = 2³ × 3¹ × 37¹ × 349¹ × 3229¹
LCM(77478,77496) = 1000705848