What is the Least Common Multiple of 10608 and 10625?

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 10608 and 10625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10608 and 10625, than apply into the LCM equation.

GCF(10608,10625) = 17
LCM(10608,10625) = ( 10608 × 10625) / 17
LCM(10608,10625) = 112710000 / 17
LCM(10608,10625) = 6630000

Least Common Multiple (LCM) of 10608 and 10625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10608 and 10625. First we will calculate the prime factors of 10608 and 10625.

Prime Factorization of 10608

Prime Factorization of 10625

Now multiplying the highest exponent prime factors to calculate the LCM of 10608 and 10625.

LCM(10608,10625) = 2⁴ × 3¹ × 13¹ × 17¹ × 5⁴
LCM(10608,10625) = 6630000