What is the Least Common Multiple of 78912 and 78930?

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 78930 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 78930, than apply into the LCM equation.

GCF(78912,78930) = 18
LCM(78912,78930) = ( 78912 × 78930) / 18
LCM(78912,78930) = 6228524160 / 18
LCM(78912,78930) = 346029120

Least Common Multiple (LCM) of 78912 and 78930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78912 and 78930. First we will calculate the prime factors of 78912 and 78930.

Prime Factorization of 78912

Prime Factorization of 78930

Now multiplying the highest exponent prime factors to calculate the LCM of 78912 and 78930.

LCM(78912,78930) = 2⁶ × 3² × 137¹ × 5¹ × 877¹
LCM(78912,78930) = 346029120