What is the Least Common Multiple of 73814 and 73823?

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 73814 and 73823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73814 and 73823, than apply into the LCM equation.

GCF(73814,73823) = 1
LCM(73814,73823) = ( 73814 × 73823) / 1
LCM(73814,73823) = 5449170922 / 1
LCM(73814,73823) = 5449170922

Least Common Multiple (LCM) of 73814 and 73823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73814 and 73823. First we will calculate the prime factors of 73814 and 73823.

Prime Factorization of 73814

Prime Factorization of 73823

Now multiplying the highest exponent prime factors to calculate the LCM of 73814 and 73823.

LCM(73814,73823) = 2¹ × 13¹ × 17¹ × 167¹ × 73823¹
LCM(73814,73823) = 5449170922