What is the Least Common Multiple of 93974 and 93978?

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 93978 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 93978, than apply into the LCM equation.

GCF(93974,93978) = 2
LCM(93974,93978) = ( 93974 × 93978) / 2
LCM(93974,93978) = 8831488572 / 2
LCM(93974,93978) = 4415744286

Least Common Multiple (LCM) of 93974 and 93978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93974 and 93978. First we will calculate the prime factors of 93974 and 93978.

Prime Factorization of 93974

Prime Factorization of 93978

Now multiplying the highest exponent prime factors to calculate the LCM of 93974 and 93978.

LCM(93974,93978) = 2¹ × 19¹ × 2473¹ × 3² × 23¹ × 227¹
LCM(93974,93978) = 4415744286