What is the Least Common Multiple of 59420 and 59434?

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 59420 and 59434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59420 and 59434, than apply into the LCM equation.

GCF(59420,59434) = 2
LCM(59420,59434) = ( 59420 × 59434) / 2
LCM(59420,59434) = 3531568280 / 2
LCM(59420,59434) = 1765784140

Least Common Multiple (LCM) of 59420 and 59434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59420 and 59434. First we will calculate the prime factors of 59420 and 59434.

Prime Factorization of 59420

Prime Factorization of 59434

Now multiplying the highest exponent prime factors to calculate the LCM of 59420 and 59434.

LCM(59420,59434) = 2² × 5¹ × 2971¹ × 29717¹
LCM(59420,59434) = 1765784140