What is the Least Common Multiple of 93141 and 93148?

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 93141 and 93148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93141 and 93148, than apply into the LCM equation.

GCF(93141,93148) = 1
LCM(93141,93148) = ( 93141 × 93148) / 1
LCM(93141,93148) = 8675897868 / 1
LCM(93141,93148) = 8675897868

Least Common Multiple (LCM) of 93141 and 93148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93141 and 93148. First we will calculate the prime factors of 93141 and 93148.

Prime Factorization of 93141

Prime Factorization of 93148

Now multiplying the highest exponent prime factors to calculate the LCM of 93141 and 93148.

LCM(93141,93148) = 3² × 79¹ × 131¹ × 2² × 11¹ × 29¹ × 73¹
LCM(93141,93148) = 8675897868