What is the Least Common Multiple of 83745 and 83755?

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 83745 and 83755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83745 and 83755, than apply into the LCM equation.

GCF(83745,83755) = 5
LCM(83745,83755) = ( 83745 × 83755) / 5
LCM(83745,83755) = 7014062475 / 5
LCM(83745,83755) = 1402812495

Least Common Multiple (LCM) of 83745 and 83755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83745 and 83755. First we will calculate the prime factors of 83745 and 83755.

Prime Factorization of 83745

Prime Factorization of 83755

Now multiplying the highest exponent prime factors to calculate the LCM of 83745 and 83755.

LCM(83745,83755) = 3² × 5¹ × 1861¹ × 7¹ × 2393¹
LCM(83745,83755) = 1402812495