What is the Least Common Multiple of 61029 and 61035?

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 61029 and 61035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61029 and 61035, than apply into the LCM equation.

GCF(61029,61035) = 3
LCM(61029,61035) = ( 61029 × 61035) / 3
LCM(61029,61035) = 3724905015 / 3
LCM(61029,61035) = 1241635005

Least Common Multiple (LCM) of 61029 and 61035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61029 and 61035. First we will calculate the prime factors of 61029 and 61035.

Prime Factorization of 61029

Prime Factorization of 61035

Now multiplying the highest exponent prime factors to calculate the LCM of 61029 and 61035.

LCM(61029,61035) = 3² × 6781¹ × 5¹ × 13¹ × 313¹
LCM(61029,61035) = 1241635005