What is the Least Common Multiple of 34978 and 34987?

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 34987 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 34987, than apply into the LCM equation.

GCF(34978,34987) = 1
LCM(34978,34987) = ( 34978 × 34987) / 1
LCM(34978,34987) = 1223775286 / 1
LCM(34978,34987) = 1223775286

Least Common Multiple (LCM) of 34978 and 34987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34978 and 34987. First we will calculate the prime factors of 34978 and 34987.

Prime Factorization of 34978

Prime Factorization of 34987

Now multiplying the highest exponent prime factors to calculate the LCM of 34978 and 34987.

LCM(34978,34987) = 2¹ × 17489¹ × 59¹ × 593¹
LCM(34978,34987) = 1223775286