What is the Least Common Multiple of 34974 and 34993?

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 34974 and 34993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34974 and 34993, than apply into the LCM equation.

GCF(34974,34993) = 1
LCM(34974,34993) = ( 34974 × 34993) / 1
LCM(34974,34993) = 1223845182 / 1
LCM(34974,34993) = 1223845182

Least Common Multiple (LCM) of 34974 and 34993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34974 and 34993. First we will calculate the prime factors of 34974 and 34993.

Prime Factorization of 34974

Prime Factorization of 34993

Now multiplying the highest exponent prime factors to calculate the LCM of 34974 and 34993.

LCM(34974,34993) = 2¹ × 3² × 29¹ × 67¹ × 7¹ × 4999¹
LCM(34974,34993) = 1223845182