What is the Least Common Multiple of 52117 and 52130?

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 52117 and 52130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52117 and 52130, than apply into the LCM equation.

GCF(52117,52130) = 13
LCM(52117,52130) = ( 52117 × 52130) / 13
LCM(52117,52130) = 2716859210 / 13
LCM(52117,52130) = 208989170

Least Common Multiple (LCM) of 52117 and 52130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52117 and 52130. First we will calculate the prime factors of 52117 and 52130.

Prime Factorization of 52117

Prime Factorization of 52130

Now multiplying the highest exponent prime factors to calculate the LCM of 52117 and 52130.

LCM(52117,52130) = 13¹ × 19¹ × 211¹ × 2¹ × 5¹ × 401¹
LCM(52117,52130) = 208989170