What is the Least Common Multiple of 34454 and 34468?

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 34454 and 34468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34454 and 34468, than apply into the LCM equation.

GCF(34454,34468) = 14
LCM(34454,34468) = ( 34454 × 34468) / 14
LCM(34454,34468) = 1187560472 / 14
LCM(34454,34468) = 84825748

Least Common Multiple (LCM) of 34454 and 34468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34454 and 34468. First we will calculate the prime factors of 34454 and 34468.

Prime Factorization of 34454

Prime Factorization of 34468

Now multiplying the highest exponent prime factors to calculate the LCM of 34454 and 34468.

LCM(34454,34468) = 2² × 7¹ × 23¹ × 107¹ × 1231¹
LCM(34454,34468) = 84825748