What is the Least Common Multiple of 49435 and 49445?

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 49435 and 49445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49435 and 49445, than apply into the LCM equation.

GCF(49435,49445) = 5
LCM(49435,49445) = ( 49435 × 49445) / 5
LCM(49435,49445) = 2444313575 / 5
LCM(49435,49445) = 488862715

Least Common Multiple (LCM) of 49435 and 49445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49435 and 49445. First we will calculate the prime factors of 49435 and 49445.

Prime Factorization of 49435

Prime Factorization of 49445

Now multiplying the highest exponent prime factors to calculate the LCM of 49435 and 49445.

LCM(49435,49445) = 5¹ × 9887¹ × 11¹ × 29¹ × 31¹
LCM(49435,49445) = 488862715