What is the Least Common Multiple of 73814 and 73830?

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 73830 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 73830, than apply into the LCM equation.

GCF(73814,73830) = 2
LCM(73814,73830) = ( 73814 × 73830) / 2
LCM(73814,73830) = 5449687620 / 2
LCM(73814,73830) = 2724843810

Least Common Multiple (LCM) of 73814 and 73830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73814 and 73830. First we will calculate the prime factors of 73814 and 73830.

Prime Factorization of 73814

Prime Factorization of 73830

Now multiplying the highest exponent prime factors to calculate the LCM of 73814 and 73830.

LCM(73814,73830) = 2¹ × 13¹ × 17¹ × 167¹ × 3¹ × 5¹ × 23¹ × 107¹
LCM(73814,73830) = 2724843810