What is the Least Common Multiple of 78183 and 78203?

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 78183 and 78203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78183 and 78203, than apply into the LCM equation.

GCF(78183,78203) = 1
LCM(78183,78203) = ( 78183 × 78203) / 1
LCM(78183,78203) = 6114145149 / 1
LCM(78183,78203) = 6114145149

Least Common Multiple (LCM) of 78183 and 78203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78183 and 78203. First we will calculate the prime factors of 78183 and 78203.

Prime Factorization of 78183

Prime Factorization of 78203

Now multiplying the highest exponent prime factors to calculate the LCM of 78183 and 78203.

LCM(78183,78203) = 3² × 7¹ × 17¹ × 73¹ × 78203¹
LCM(78183,78203) = 6114145149