What is the Least Common Multiple of 93753 and 93761?

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 93753 and 93761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93753 and 93761, than apply into the LCM equation.

GCF(93753,93761) = 1
LCM(93753,93761) = ( 93753 × 93761) / 1
LCM(93753,93761) = 8790375033 / 1
LCM(93753,93761) = 8790375033

Least Common Multiple (LCM) of 93753 and 93761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93753 and 93761. First we will calculate the prime factors of 93753 and 93761.

Prime Factorization of 93753

Prime Factorization of 93761

Now multiplying the highest exponent prime factors to calculate the LCM of 93753 and 93761.

LCM(93753,93761) = 3² × 11¹ × 947¹ × 93761¹
LCM(93753,93761) = 8790375033