What is the Least Common Multiple of 54860 and 54869?

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 54860 and 54869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54860 and 54869, than apply into the LCM equation.

GCF(54860,54869) = 1
LCM(54860,54869) = ( 54860 × 54869) / 1
LCM(54860,54869) = 3010113340 / 1
LCM(54860,54869) = 3010113340

Least Common Multiple (LCM) of 54860 and 54869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54860 and 54869. First we will calculate the prime factors of 54860 and 54869.

Prime Factorization of 54860

Prime Factorization of 54869

Now multiplying the highest exponent prime factors to calculate the LCM of 54860 and 54869.

LCM(54860,54869) = 2² × 5¹ × 13¹ × 211¹ × 54869¹
LCM(54860,54869) = 3010113340