What is the Least Common Multiple of 61925 and 61943?

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 61925 and 61943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61925 and 61943, than apply into the LCM equation.

GCF(61925,61943) = 1
LCM(61925,61943) = ( 61925 × 61943) / 1
LCM(61925,61943) = 3835820275 / 1
LCM(61925,61943) = 3835820275

Least Common Multiple (LCM) of 61925 and 61943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61925 and 61943. First we will calculate the prime factors of 61925 and 61943.

Prime Factorization of 61925

Prime Factorization of 61943

Now multiplying the highest exponent prime factors to calculate the LCM of 61925 and 61943.

LCM(61925,61943) = 5² × 2477¹ × 7¹ × 8849¹
LCM(61925,61943) = 3835820275