What is the Least Common Multiple of 34517 and 34535?

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 34517 and 34535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34517 and 34535, than apply into the LCM equation.

GCF(34517,34535) = 1
LCM(34517,34535) = ( 34517 × 34535) / 1
LCM(34517,34535) = 1192044595 / 1
LCM(34517,34535) = 1192044595

Least Common Multiple (LCM) of 34517 and 34535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34517 and 34535. First we will calculate the prime factors of 34517 and 34535.

Prime Factorization of 34517

Prime Factorization of 34535

Now multiplying the highest exponent prime factors to calculate the LCM of 34517 and 34535.

LCM(34517,34535) = 7¹ × 4931¹ × 5¹ × 6907¹
LCM(34517,34535) = 1192044595