What is the Least Common Multiple of 34930 and 34938?

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 34930 and 34938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34930 and 34938, than apply into the LCM equation.

GCF(34930,34938) = 2
LCM(34930,34938) = ( 34930 × 34938) / 2
LCM(34930,34938) = 1220384340 / 2
LCM(34930,34938) = 610192170

Least Common Multiple (LCM) of 34930 and 34938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34930 and 34938. First we will calculate the prime factors of 34930 and 34938.

Prime Factorization of 34930

Prime Factorization of 34938

Now multiplying the highest exponent prime factors to calculate the LCM of 34930 and 34938.

LCM(34930,34938) = 2¹ × 5¹ × 7¹ × 499¹ × 3³ × 647¹
LCM(34930,34938) = 610192170