What is the Least Common Multiple of 34967 and 34978?

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 34967 and 34978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34967 and 34978, than apply into the LCM equation.

GCF(34967,34978) = 1
LCM(34967,34978) = ( 34967 × 34978) / 1
LCM(34967,34978) = 1223075726 / 1
LCM(34967,34978) = 1223075726

Least Common Multiple (LCM) of 34967 and 34978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34967 and 34978. First we will calculate the prime factors of 34967 and 34978.

Prime Factorization of 34967

Prime Factorization of 34978

Now multiplying the highest exponent prime factors to calculate the LCM of 34967 and 34978.

LCM(34967,34978) = 73¹ × 479¹ × 2¹ × 17489¹
LCM(34967,34978) = 1223075726