What is the Least Common Multiple of 77428 and 77432?

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 77428 and 77432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77428 and 77432, than apply into the LCM equation.

GCF(77428,77432) = 4
LCM(77428,77432) = ( 77428 × 77432) / 4
LCM(77428,77432) = 5995404896 / 4
LCM(77428,77432) = 1498851224

Least Common Multiple (LCM) of 77428 and 77432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77428 and 77432. First we will calculate the prime factors of 77428 and 77432.

Prime Factorization of 77428

Prime Factorization of 77432

Now multiplying the highest exponent prime factors to calculate the LCM of 77428 and 77432.

LCM(77428,77432) = 2³ × 13¹ × 1489¹ × 9679¹
LCM(77428,77432) = 1498851224