What is the Least Common Multiple of 77940 and 77958?

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 77940 and 77958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77940 and 77958, than apply into the LCM equation.

GCF(77940,77958) = 18
LCM(77940,77958) = ( 77940 × 77958) / 18
LCM(77940,77958) = 6076046520 / 18
LCM(77940,77958) = 337558140

Least Common Multiple (LCM) of 77940 and 77958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77940 and 77958. First we will calculate the prime factors of 77940 and 77958.

Prime Factorization of 77940

Prime Factorization of 77958

Now multiplying the highest exponent prime factors to calculate the LCM of 77940 and 77958.

LCM(77940,77958) = 2² × 3² × 5¹ × 433¹ × 61¹ × 71¹
LCM(77940,77958) = 337558140