What is the Least Common Multiple of 25460 and 25480?

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 25460 and 25480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25460 and 25480, than apply into the LCM equation.

GCF(25460,25480) = 20
LCM(25460,25480) = ( 25460 × 25480) / 20
LCM(25460,25480) = 648720800 / 20
LCM(25460,25480) = 32436040

Least Common Multiple (LCM) of 25460 and 25480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25460 and 25480. First we will calculate the prime factors of 25460 and 25480.

Prime Factorization of 25460

Prime Factorization of 25480

Now multiplying the highest exponent prime factors to calculate the LCM of 25460 and 25480.

LCM(25460,25480) = 2³ × 5¹ × 19¹ × 67¹ × 7² × 13¹
LCM(25460,25480) = 32436040