What is the Least Common Multiple of 34978 and 34990?

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 34978 and 34990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34978 and 34990, than apply into the LCM equation.

GCF(34978,34990) = 2
LCM(34978,34990) = ( 34978 × 34990) / 2
LCM(34978,34990) = 1223880220 / 2
LCM(34978,34990) = 611940110

Least Common Multiple (LCM) of 34978 and 34990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34978 and 34990. First we will calculate the prime factors of 34978 and 34990.

Prime Factorization of 34978

Prime Factorization of 34990

Now multiplying the highest exponent prime factors to calculate the LCM of 34978 and 34990.

LCM(34978,34990) = 2¹ × 17489¹ × 5¹ × 3499¹
LCM(34978,34990) = 611940110