What is the Least Common Multiple of 50430 and 50445?

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 50430 and 50445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50430 and 50445, than apply into the LCM equation.

GCF(50430,50445) = 15
LCM(50430,50445) = ( 50430 × 50445) / 15
LCM(50430,50445) = 2543941350 / 15
LCM(50430,50445) = 169596090

Least Common Multiple (LCM) of 50430 and 50445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50430 and 50445. First we will calculate the prime factors of 50430 and 50445.

Prime Factorization of 50430

Prime Factorization of 50445

Now multiplying the highest exponent prime factors to calculate the LCM of 50430 and 50445.

LCM(50430,50445) = 2¹ × 3² × 5¹ × 41² × 19¹ × 59¹
LCM(50430,50445) = 169596090