What is the Least Common Multiple of 78942 and 78960?

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 78942 and 78960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78942 and 78960, than apply into the LCM equation.

GCF(78942,78960) = 6
LCM(78942,78960) = ( 78942 × 78960) / 6
LCM(78942,78960) = 6233260320 / 6
LCM(78942,78960) = 1038876720

Least Common Multiple (LCM) of 78942 and 78960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78942 and 78960. First we will calculate the prime factors of 78942 and 78960.

Prime Factorization of 78942

Prime Factorization of 78960

Now multiplying the highest exponent prime factors to calculate the LCM of 78942 and 78960.

LCM(78942,78960) = 2⁴ × 3¹ × 59¹ × 223¹ × 5¹ × 7¹ × 47¹
LCM(78942,78960) = 1038876720