What is the Least Common Multiple of 60117 and 60133?

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 60117 and 60133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60117 and 60133, than apply into the LCM equation.

GCF(60117,60133) = 1
LCM(60117,60133) = ( 60117 × 60133) / 1
LCM(60117,60133) = 3615015561 / 1
LCM(60117,60133) = 3615015561

Least Common Multiple (LCM) of 60117 and 60133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60117 and 60133. First we will calculate the prime factors of 60117 and 60133.

Prime Factorization of 60117

Prime Factorization of 60133

Now multiplying the highest exponent prime factors to calculate the LCM of 60117 and 60133.

LCM(60117,60133) = 3¹ × 29¹ × 691¹ × 60133¹
LCM(60117,60133) = 3615015561