What is the Least Common Multiple of 93749 and 93757?

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 93749 and 93757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93749 and 93757, than apply into the LCM equation.

GCF(93749,93757) = 1
LCM(93749,93757) = ( 93749 × 93757) / 1
LCM(93749,93757) = 8789624993 / 1
LCM(93749,93757) = 8789624993

Least Common Multiple (LCM) of 93749 and 93757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93749 and 93757. First we will calculate the prime factors of 93749 and 93757.

Prime Factorization of 93749

Prime Factorization of 93757

Now multiplying the highest exponent prime factors to calculate the LCM of 93749 and 93757.

LCM(93749,93757) = 241¹ × 389¹ × 29¹ × 53¹ × 61¹
LCM(93749,93757) = 8789624993