What is the Least Common Multiple of 93974 and 93991?

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 93974 and 93991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93974 and 93991, than apply into the LCM equation.

GCF(93974,93991) = 1
LCM(93974,93991) = ( 93974 × 93991) / 1
LCM(93974,93991) = 8832710234 / 1
LCM(93974,93991) = 8832710234

Least Common Multiple (LCM) of 93974 and 93991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93974 and 93991. First we will calculate the prime factors of 93974 and 93991.

Prime Factorization of 93974

Prime Factorization of 93991

Now multiplying the highest exponent prime factors to calculate the LCM of 93974 and 93991.

LCM(93974,93991) = 2¹ × 19¹ × 2473¹ × 193¹ × 487¹
LCM(93974,93991) = 8832710234