What is the Least Common Multiple of 78740 and 78744?

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 78740 and 78744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78740 and 78744, than apply into the LCM equation.

GCF(78740,78744) = 4
LCM(78740,78744) = ( 78740 × 78744) / 4
LCM(78740,78744) = 6200302560 / 4
LCM(78740,78744) = 1550075640

Least Common Multiple (LCM) of 78740 and 78744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78740 and 78744. First we will calculate the prime factors of 78740 and 78744.

Prime Factorization of 78740

Prime Factorization of 78744

Now multiplying the highest exponent prime factors to calculate the LCM of 78740 and 78744.

LCM(78740,78744) = 2³ × 5¹ × 31¹ × 127¹ × 3¹ × 17¹ × 193¹
LCM(78740,78744) = 1550075640