What is the Least Common Multiple of 25608 and 25624?

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 25608 and 25624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25608 and 25624, than apply into the LCM equation.

GCF(25608,25624) = 8
LCM(25608,25624) = ( 25608 × 25624) / 8
LCM(25608,25624) = 656179392 / 8
LCM(25608,25624) = 82022424

Least Common Multiple (LCM) of 25608 and 25624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25608 and 25624. First we will calculate the prime factors of 25608 and 25624.

Prime Factorization of 25608

Prime Factorization of 25624

Now multiplying the highest exponent prime factors to calculate the LCM of 25608 and 25624.

LCM(25608,25624) = 2³ × 3¹ × 11¹ × 97¹ × 3203¹
LCM(25608,25624) = 82022424