What is the Least Common Multiple of 93980 and 93996?

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 93980 and 93996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93980 and 93996, than apply into the LCM equation.

GCF(93980,93996) = 4
LCM(93980,93996) = ( 93980 × 93996) / 4
LCM(93980,93996) = 8833744080 / 4
LCM(93980,93996) = 2208436020

Least Common Multiple (LCM) of 93980 and 93996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93980 and 93996. First we will calculate the prime factors of 93980 and 93996.

Prime Factorization of 93980

Prime Factorization of 93996

Now multiplying the highest exponent prime factors to calculate the LCM of 93980 and 93996.

LCM(93980,93996) = 2² × 5¹ × 37¹ × 127¹ × 3² × 7¹ × 373¹
LCM(93980,93996) = 2208436020