What is the Least Common Multiple of 65025 and 65040?

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 65025 and 65040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65025 and 65040, than apply into the LCM equation.

GCF(65025,65040) = 15
LCM(65025,65040) = ( 65025 × 65040) / 15
LCM(65025,65040) = 4229226000 / 15
LCM(65025,65040) = 281948400

Least Common Multiple (LCM) of 65025 and 65040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65025 and 65040. First we will calculate the prime factors of 65025 and 65040.

Prime Factorization of 65025

Prime Factorization of 65040

Now multiplying the highest exponent prime factors to calculate the LCM of 65025 and 65040.

LCM(65025,65040) = 3² × 5² × 17² × 2⁴ × 271¹
LCM(65025,65040) = 281948400