What is the Least Common Multiple of 78912 and 78932?

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 78912 and 78932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78912 and 78932, than apply into the LCM equation.

GCF(78912,78932) = 4
LCM(78912,78932) = ( 78912 × 78932) / 4
LCM(78912,78932) = 6228681984 / 4
LCM(78912,78932) = 1557170496

Least Common Multiple (LCM) of 78912 and 78932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78912 and 78932. First we will calculate the prime factors of 78912 and 78932.

Prime Factorization of 78912

Prime Factorization of 78932

Now multiplying the highest exponent prime factors to calculate the LCM of 78912 and 78932.

LCM(78912,78932) = 2⁶ × 3² × 137¹ × 7¹ × 2819¹
LCM(78912,78932) = 1557170496