What is the Least Common Multiple of 73814 and 73827?

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 73827 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 73827, than apply into the LCM equation.

GCF(73814,73827) = 13
LCM(73814,73827) = ( 73814 × 73827) / 13
LCM(73814,73827) = 5449466178 / 13
LCM(73814,73827) = 419189706

Least Common Multiple (LCM) of 73814 and 73827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73814 and 73827. First we will calculate the prime factors of 73814 and 73827.

Prime Factorization of 73814

Prime Factorization of 73827

Now multiplying the highest exponent prime factors to calculate the LCM of 73814 and 73827.

LCM(73814,73827) = 2¹ × 13¹ × 17¹ × 167¹ × 3² × 631¹
LCM(73814,73827) = 419189706