What is the Least Common Multiple of 49509 and 49529?

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 49509 and 49529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49509 and 49529, than apply into the LCM equation.

GCF(49509,49529) = 1
LCM(49509,49529) = ( 49509 × 49529) / 1
LCM(49509,49529) = 2452131261 / 1
LCM(49509,49529) = 2452131261

Least Common Multiple (LCM) of 49509 and 49529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49509 and 49529. First we will calculate the prime factors of 49509 and 49529.

Prime Factorization of 49509

Prime Factorization of 49529

Now multiplying the highest exponent prime factors to calculate the LCM of 49509 and 49529.

LCM(49509,49529) = 3² × 5501¹ × 49529¹
LCM(49509,49529) = 2452131261