What is the Least Common Multiple of 61035 and 61050?

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 61035 and 61050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61035 and 61050, than apply into the LCM equation.

GCF(61035,61050) = 15
LCM(61035,61050) = ( 61035 × 61050) / 15
LCM(61035,61050) = 3726186750 / 15
LCM(61035,61050) = 248412450

Least Common Multiple (LCM) of 61035 and 61050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61035 and 61050. First we will calculate the prime factors of 61035 and 61050.

Prime Factorization of 61035

Prime Factorization of 61050

Now multiplying the highest exponent prime factors to calculate the LCM of 61035 and 61050.

LCM(61035,61050) = 3¹ × 5² × 13¹ × 313¹ × 2¹ × 11¹ × 37¹
LCM(61035,61050) = 248412450