What is the Least Common Multiple of 47745 and 47765?

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 47745 and 47765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47745 and 47765, than apply into the LCM equation.

GCF(47745,47765) = 5
LCM(47745,47765) = ( 47745 × 47765) / 5
LCM(47745,47765) = 2280539925 / 5
LCM(47745,47765) = 456107985

Least Common Multiple (LCM) of 47745 and 47765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47745 and 47765. First we will calculate the prime factors of 47745 and 47765.

Prime Factorization of 47745

Prime Factorization of 47765

Now multiplying the highest exponent prime factors to calculate the LCM of 47745 and 47765.

LCM(47745,47765) = 3² × 5¹ × 1061¹ × 41¹ × 233¹
LCM(47745,47765) = 456107985