What is the Least Common Multiple of 93651 and 93670?

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 93651 and 93670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93651 and 93670, than apply into the LCM equation.

GCF(93651,93670) = 19
LCM(93651,93670) = ( 93651 × 93670) / 19
LCM(93651,93670) = 8772289170 / 19
LCM(93651,93670) = 461699430

Least Common Multiple (LCM) of 93651 and 93670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93651 and 93670. First we will calculate the prime factors of 93651 and 93670.

Prime Factorization of 93651

Prime Factorization of 93670

Now multiplying the highest exponent prime factors to calculate the LCM of 93651 and 93670.

LCM(93651,93670) = 3¹ × 19¹ × 31¹ × 53¹ × 2¹ × 5¹ × 17¹ × 29¹
LCM(93651,93670) = 461699430