What is the Least Common Multiple of 73830 and 73842?

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 73830 and 73842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73830 and 73842, than apply into the LCM equation.

GCF(73830,73842) = 6
LCM(73830,73842) = ( 73830 × 73842) / 6
LCM(73830,73842) = 5451754860 / 6
LCM(73830,73842) = 908625810

Least Common Multiple (LCM) of 73830 and 73842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73830 and 73842. First we will calculate the prime factors of 73830 and 73842.

Prime Factorization of 73830

Prime Factorization of 73842

Now multiplying the highest exponent prime factors to calculate the LCM of 73830 and 73842.

LCM(73830,73842) = 2¹ × 3¹ × 5¹ × 23¹ × 107¹ × 31¹ × 397¹
LCM(73830,73842) = 908625810