What is the Least Common Multiple of 59202 and 59222?

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 59202 and 59222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59202 and 59222, than apply into the LCM equation.

GCF(59202,59222) = 2
LCM(59202,59222) = ( 59202 × 59222) / 2
LCM(59202,59222) = 3506060844 / 2
LCM(59202,59222) = 1753030422

Least Common Multiple (LCM) of 59202 and 59222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59202 and 59222. First we will calculate the prime factors of 59202 and 59222.

Prime Factorization of 59202

Prime Factorization of 59222

Now multiplying the highest exponent prime factors to calculate the LCM of 59202 and 59222.

LCM(59202,59222) = 2¹ × 3² × 11¹ × 13¹ × 23¹ × 29611¹
LCM(59202,59222) = 1753030422