What is the Least Common Multiple of 67812 and 67830?

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 67812 and 67830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67812 and 67830, than apply into the LCM equation.

GCF(67812,67830) = 6
LCM(67812,67830) = ( 67812 × 67830) / 6
LCM(67812,67830) = 4599687960 / 6
LCM(67812,67830) = 766614660

Least Common Multiple (LCM) of 67812 and 67830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67812 and 67830. First we will calculate the prime factors of 67812 and 67830.

Prime Factorization of 67812

Prime Factorization of 67830

Now multiplying the highest exponent prime factors to calculate the LCM of 67812 and 67830.

LCM(67812,67830) = 2² × 3¹ × 5651¹ × 5¹ × 7¹ × 17¹ × 19¹
LCM(67812,67830) = 766614660