What is the Least Common Multiple of 42198 and 42203?

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 42198 and 42203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42198 and 42203, than apply into the LCM equation.

GCF(42198,42203) = 1
LCM(42198,42203) = ( 42198 × 42203) / 1
LCM(42198,42203) = 1780882194 / 1
LCM(42198,42203) = 1780882194

Least Common Multiple (LCM) of 42198 and 42203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42198 and 42203. First we will calculate the prime factors of 42198 and 42203.

Prime Factorization of 42198

Prime Factorization of 42203

Now multiplying the highest exponent prime factors to calculate the LCM of 42198 and 42203.

LCM(42198,42203) = 2¹ × 3¹ × 13¹ × 541¹ × 7¹ × 6029¹
LCM(42198,42203) = 1780882194