What is the Least Common Multiple of 34320 and 34340?

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 34320 and 34340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34320 and 34340, than apply into the LCM equation.

GCF(34320,34340) = 20
LCM(34320,34340) = ( 34320 × 34340) / 20
LCM(34320,34340) = 1178548800 / 20
LCM(34320,34340) = 58927440

Least Common Multiple (LCM) of 34320 and 34340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34320 and 34340. First we will calculate the prime factors of 34320 and 34340.

Prime Factorization of 34320

Prime Factorization of 34340

Now multiplying the highest exponent prime factors to calculate the LCM of 34320 and 34340.

LCM(34320,34340) = 2⁴ × 3¹ × 5¹ × 11¹ × 13¹ × 17¹ × 101¹
LCM(34320,34340) = 58927440