What is the Least Common Multiple of 49509 and 49528?

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 49528 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 49528, than apply into the LCM equation.

GCF(49509,49528) = 1
LCM(49509,49528) = ( 49509 × 49528) / 1
LCM(49509,49528) = 2452081752 / 1
LCM(49509,49528) = 2452081752

Least Common Multiple (LCM) of 49509 and 49528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49509 and 49528. First we will calculate the prime factors of 49509 and 49528.

Prime Factorization of 49509

Prime Factorization of 49528

Now multiplying the highest exponent prime factors to calculate the LCM of 49509 and 49528.

LCM(49509,49528) = 3² × 5501¹ × 2³ × 41¹ × 151¹
LCM(49509,49528) = 2452081752