What is the Least Common Multiple of 42645 and 42660?

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 42645 and 42660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42645 and 42660, than apply into the LCM equation.

GCF(42645,42660) = 15
LCM(42645,42660) = ( 42645 × 42660) / 15
LCM(42645,42660) = 1819235700 / 15
LCM(42645,42660) = 121282380

Least Common Multiple (LCM) of 42645 and 42660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42645 and 42660. First we will calculate the prime factors of 42645 and 42660.

Prime Factorization of 42645

Prime Factorization of 42660

Now multiplying the highest exponent prime factors to calculate the LCM of 42645 and 42660.

LCM(42645,42660) = 3³ × 5¹ × 2843¹ × 2² × 79¹
LCM(42645,42660) = 121282380