What is the Least Common Multiple of 49845 and 49854?

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 49845 and 49854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49845 and 49854, than apply into the LCM equation.

GCF(49845,49854) = 3
LCM(49845,49854) = ( 49845 × 49854) / 3
LCM(49845,49854) = 2484972630 / 3
LCM(49845,49854) = 828324210

Least Common Multiple (LCM) of 49845 and 49854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49845 and 49854. First we will calculate the prime factors of 49845 and 49854.

Prime Factorization of 49845

Prime Factorization of 49854

Now multiplying the highest exponent prime factors to calculate the LCM of 49845 and 49854.

LCM(49845,49854) = 3¹ × 5¹ × 3323¹ × 2¹ × 7¹ × 1187¹
LCM(49845,49854) = 828324210