What is the Least Common Multiple of 52195 and 52206?

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 52195 and 52206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52195 and 52206, than apply into the LCM equation.

GCF(52195,52206) = 11
LCM(52195,52206) = ( 52195 × 52206) / 11
LCM(52195,52206) = 2724892170 / 11
LCM(52195,52206) = 247717470

Least Common Multiple (LCM) of 52195 and 52206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52195 and 52206. First we will calculate the prime factors of 52195 and 52206.

Prime Factorization of 52195

Prime Factorization of 52206

Now multiplying the highest exponent prime factors to calculate the LCM of 52195 and 52206.

LCM(52195,52206) = 5¹ × 11¹ × 13¹ × 73¹ × 2¹ × 3¹ × 7¹ × 113¹
LCM(52195,52206) = 247717470