What is the Least Common Multiple of 34960 and 34979?

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 34960 and 34979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34960 and 34979, than apply into the LCM equation.

GCF(34960,34979) = 19
LCM(34960,34979) = ( 34960 × 34979) / 19
LCM(34960,34979) = 1222865840 / 19
LCM(34960,34979) = 64361360

Least Common Multiple (LCM) of 34960 and 34979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34960 and 34979. First we will calculate the prime factors of 34960 and 34979.

Prime Factorization of 34960

Prime Factorization of 34979

Now multiplying the highest exponent prime factors to calculate the LCM of 34960 and 34979.

LCM(34960,34979) = 2⁴ × 5¹ × 19¹ × 23¹ × 7¹ × 263¹
LCM(34960,34979) = 64361360