What is the Least Common Multiple of 35007 and 35025?

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 35007 and 35025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35007 and 35025, than apply into the LCM equation.

GCF(35007,35025) = 3
LCM(35007,35025) = ( 35007 × 35025) / 3
LCM(35007,35025) = 1226120175 / 3
LCM(35007,35025) = 408706725

Least Common Multiple (LCM) of 35007 and 35025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35007 and 35025. First we will calculate the prime factors of 35007 and 35025.

Prime Factorization of 35007

Prime Factorization of 35025

Now multiplying the highest exponent prime factors to calculate the LCM of 35007 and 35025.

LCM(35007,35025) = 3¹ × 7¹ × 1667¹ × 5² × 467¹
LCM(35007,35025) = 408706725