What is the Least Common Multiple of 34710 and 34730?

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 34710 and 34730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34710 and 34730, than apply into the LCM equation.

GCF(34710,34730) = 10
LCM(34710,34730) = ( 34710 × 34730) / 10
LCM(34710,34730) = 1205478300 / 10
LCM(34710,34730) = 120547830

Least Common Multiple (LCM) of 34710 and 34730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34710 and 34730. First we will calculate the prime factors of 34710 and 34730.

Prime Factorization of 34710

Prime Factorization of 34730

Now multiplying the highest exponent prime factors to calculate the LCM of 34710 and 34730.

LCM(34710,34730) = 2¹ × 3¹ × 5¹ × 13¹ × 89¹ × 23¹ × 151¹
LCM(34710,34730) = 120547830