What is the Least Common Multiple of 25140 and 25152?

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 25140 and 25152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25140 and 25152, than apply into the LCM equation.

GCF(25140,25152) = 12
LCM(25140,25152) = ( 25140 × 25152) / 12
LCM(25140,25152) = 632321280 / 12
LCM(25140,25152) = 52693440

Least Common Multiple (LCM) of 25140 and 25152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25140 and 25152. First we will calculate the prime factors of 25140 and 25152.

Prime Factorization of 25140

Prime Factorization of 25152

Now multiplying the highest exponent prime factors to calculate the LCM of 25140 and 25152.

LCM(25140,25152) = 2⁶ × 3¹ × 5¹ × 419¹ × 131¹
LCM(25140,25152) = 52693440