What is the Least Common Multiple of 42456 and 42460?

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 42456 and 42460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42456 and 42460, than apply into the LCM equation.

GCF(42456,42460) = 4
LCM(42456,42460) = ( 42456 × 42460) / 4
LCM(42456,42460) = 1802681760 / 4
LCM(42456,42460) = 450670440

Least Common Multiple (LCM) of 42456 and 42460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42456 and 42460. First we will calculate the prime factors of 42456 and 42460.

Prime Factorization of 42456

Prime Factorization of 42460

Now multiplying the highest exponent prime factors to calculate the LCM of 42456 and 42460.

LCM(42456,42460) = 2³ × 3¹ × 29¹ × 61¹ × 5¹ × 11¹ × 193¹
LCM(42456,42460) = 450670440