What is the Least Common Multiple of 4893 and 4902?

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 4893 and 4902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4893 and 4902, than apply into the LCM equation.

GCF(4893,4902) = 3
LCM(4893,4902) = ( 4893 × 4902) / 3
LCM(4893,4902) = 23985486 / 3
LCM(4893,4902) = 7995162

Least Common Multiple (LCM) of 4893 and 4902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4893 and 4902. First we will calculate the prime factors of 4893 and 4902.

Prime Factorization of 4893

Prime Factorization of 4902

Now multiplying the highest exponent prime factors to calculate the LCM of 4893 and 4902.

LCM(4893,4902) = 3¹ × 7¹ × 233¹ × 2¹ × 19¹ × 43¹
LCM(4893,4902) = 7995162