What is the Least Common Multiple of 42456 and 42465?

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 42465 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 42465, than apply into the LCM equation.

GCF(42456,42465) = 3
LCM(42456,42465) = ( 42456 × 42465) / 3
LCM(42456,42465) = 1802894040 / 3
LCM(42456,42465) = 600964680

Least Common Multiple (LCM) of 42456 and 42465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42456 and 42465. First we will calculate the prime factors of 42456 and 42465.

Prime Factorization of 42456

Prime Factorization of 42465

Now multiplying the highest exponent prime factors to calculate the LCM of 42456 and 42465.

LCM(42456,42465) = 2³ × 3¹ × 29¹ × 61¹ × 5¹ × 19¹ × 149¹
LCM(42456,42465) = 600964680