What is the Least Common Multiple of 60196 and 60203?

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 60196 and 60203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60196 and 60203, than apply into the LCM equation.

GCF(60196,60203) = 1
LCM(60196,60203) = ( 60196 × 60203) / 1
LCM(60196,60203) = 3623979788 / 1
LCM(60196,60203) = 3623979788

Least Common Multiple (LCM) of 60196 and 60203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60196 and 60203. First we will calculate the prime factors of 60196 and 60203.

Prime Factorization of 60196

Prime Factorization of 60203

Now multiplying the highest exponent prime factors to calculate the LCM of 60196 and 60203.

LCM(60196,60203) = 2² × 101¹ × 149¹ × 11¹ × 13¹ × 421¹
LCM(60196,60203) = 3623979788