What is the Least Common Multiple of 34710 and 34724?

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 34724 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 34724, than apply into the LCM equation.

GCF(34710,34724) = 2
LCM(34710,34724) = ( 34710 × 34724) / 2
LCM(34710,34724) = 1205270040 / 2
LCM(34710,34724) = 602635020

Least Common Multiple (LCM) of 34710 and 34724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34710 and 34724. First we will calculate the prime factors of 34710 and 34724.

Prime Factorization of 34710

Prime Factorization of 34724

Now multiplying the highest exponent prime factors to calculate the LCM of 34710 and 34724.

LCM(34710,34724) = 2² × 3¹ × 5¹ × 13¹ × 89¹ × 8681¹
LCM(34710,34724) = 602635020