What is the Least Common Multiple of 61025 and 61030?

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 61025 and 61030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61025 and 61030, than apply into the LCM equation.

GCF(61025,61030) = 5
LCM(61025,61030) = ( 61025 × 61030) / 5
LCM(61025,61030) = 3724355750 / 5
LCM(61025,61030) = 744871150

Least Common Multiple (LCM) of 61025 and 61030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61025 and 61030. First we will calculate the prime factors of 61025 and 61030.

Prime Factorization of 61025

Prime Factorization of 61030

Now multiplying the highest exponent prime factors to calculate the LCM of 61025 and 61030.

LCM(61025,61030) = 5² × 2441¹ × 2¹ × 17¹ × 359¹
LCM(61025,61030) = 744871150