What is the Least Common Multiple of 42546 and 42564?

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 42546 and 42564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42546 and 42564, than apply into the LCM equation.

GCF(42546,42564) = 6
LCM(42546,42564) = ( 42546 × 42564) / 6
LCM(42546,42564) = 1810927944 / 6
LCM(42546,42564) = 301821324

Least Common Multiple (LCM) of 42546 and 42564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42546 and 42564. First we will calculate the prime factors of 42546 and 42564.

Prime Factorization of 42546

Prime Factorization of 42564

Now multiplying the highest exponent prime factors to calculate the LCM of 42546 and 42564.

LCM(42546,42564) = 2² × 3¹ × 7¹ × 1013¹ × 3547¹
LCM(42546,42564) = 301821324