What is the Least Common Multiple of 75630 and 75645?

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 75630 and 75645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75630 and 75645, than apply into the LCM equation.

GCF(75630,75645) = 15
LCM(75630,75645) = ( 75630 × 75645) / 15
LCM(75630,75645) = 5721031350 / 15
LCM(75630,75645) = 381402090

Least Common Multiple (LCM) of 75630 and 75645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75630 and 75645. First we will calculate the prime factors of 75630 and 75645.

Prime Factorization of 75630

Prime Factorization of 75645

Now multiplying the highest exponent prime factors to calculate the LCM of 75630 and 75645.

LCM(75630,75645) = 2¹ × 3² × 5¹ × 2521¹ × 41²
LCM(75630,75645) = 381402090