What is the Least Common Multiple of 61524 and 61535?

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 61524 and 61535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61524 and 61535, than apply into the LCM equation.

GCF(61524,61535) = 1
LCM(61524,61535) = ( 61524 × 61535) / 1
LCM(61524,61535) = 3785879340 / 1
LCM(61524,61535) = 3785879340

Least Common Multiple (LCM) of 61524 and 61535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61524 and 61535. First we will calculate the prime factors of 61524 and 61535.

Prime Factorization of 61524

Prime Factorization of 61535

Now multiplying the highest exponent prime factors to calculate the LCM of 61524 and 61535.

LCM(61524,61535) = 2² × 3² × 1709¹ × 5¹ × 31¹ × 397¹
LCM(61524,61535) = 3785879340