What is the Least Common Multiple of 34529 and 34541?

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 34529 and 34541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34529 and 34541, than apply into the LCM equation.

GCF(34529,34541) = 1
LCM(34529,34541) = ( 34529 × 34541) / 1
LCM(34529,34541) = 1192666189 / 1
LCM(34529,34541) = 1192666189

Least Common Multiple (LCM) of 34529 and 34541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34529 and 34541. First we will calculate the prime factors of 34529 and 34541.

Prime Factorization of 34529

Prime Factorization of 34541

Now multiplying the highest exponent prime factors to calculate the LCM of 34529 and 34541.

LCM(34529,34541) = 11¹ × 43¹ × 73¹ × 13¹ × 2657¹
LCM(34529,34541) = 1192666189