What is the Least Common Multiple of 43820 and 43834?

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 43820 and 43834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43820 and 43834, than apply into the LCM equation.

GCF(43820,43834) = 14
LCM(43820,43834) = ( 43820 × 43834) / 14
LCM(43820,43834) = 1920805880 / 14
LCM(43820,43834) = 137200420

Least Common Multiple (LCM) of 43820 and 43834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43820 and 43834. First we will calculate the prime factors of 43820 and 43834.

Prime Factorization of 43820

Prime Factorization of 43834

Now multiplying the highest exponent prime factors to calculate the LCM of 43820 and 43834.

LCM(43820,43834) = 2² × 5¹ × 7¹ × 313¹ × 31¹ × 101¹
LCM(43820,43834) = 137200420