What is the Least Common Multiple of 35625 and 35644?

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 35625 and 35644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35625 and 35644, than apply into the LCM equation.

GCF(35625,35644) = 19
LCM(35625,35644) = ( 35625 × 35644) / 19
LCM(35625,35644) = 1269817500 / 19
LCM(35625,35644) = 66832500

Least Common Multiple (LCM) of 35625 and 35644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35625 and 35644. First we will calculate the prime factors of 35625 and 35644.

Prime Factorization of 35625

Prime Factorization of 35644

Now multiplying the highest exponent prime factors to calculate the LCM of 35625 and 35644.

LCM(35625,35644) = 3¹ × 5⁴ × 19¹ × 2² × 7¹ × 67¹
LCM(35625,35644) = 66832500