What is the Least Common Multiple of 93975 and 93982?

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 93975 and 93982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93975 and 93982, than apply into the LCM equation.

GCF(93975,93982) = 7
LCM(93975,93982) = ( 93975 × 93982) / 7
LCM(93975,93982) = 8831958450 / 7
LCM(93975,93982) = 1261708350

Least Common Multiple (LCM) of 93975 and 93982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93975 and 93982. First we will calculate the prime factors of 93975 and 93982.

Prime Factorization of 93975

Prime Factorization of 93982

Now multiplying the highest exponent prime factors to calculate the LCM of 93975 and 93982.

LCM(93975,93982) = 3¹ × 5² × 7³ × 179¹ × 2¹ × 137¹
LCM(93975,93982) = 1261708350