What is the Least Common Multiple of 38745 and 38765?

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 38745 and 38765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38745 and 38765, than apply into the LCM equation.

GCF(38745,38765) = 5
LCM(38745,38765) = ( 38745 × 38765) / 5
LCM(38745,38765) = 1501949925 / 5
LCM(38745,38765) = 300389985

Least Common Multiple (LCM) of 38745 and 38765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38745 and 38765. First we will calculate the prime factors of 38745 and 38765.

Prime Factorization of 38745

Prime Factorization of 38765

Now multiplying the highest exponent prime factors to calculate the LCM of 38745 and 38765.

LCM(38745,38765) = 3³ × 5¹ × 7¹ × 41¹ × 7753¹
LCM(38745,38765) = 300389985