What is the Least Common Multiple of 59946 and 59963?

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 59946 and 59963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59946 and 59963, than apply into the LCM equation.

GCF(59946,59963) = 1
LCM(59946,59963) = ( 59946 × 59963) / 1
LCM(59946,59963) = 3594541998 / 1
LCM(59946,59963) = 3594541998

Least Common Multiple (LCM) of 59946 and 59963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59946 and 59963. First we will calculate the prime factors of 59946 and 59963.

Prime Factorization of 59946

Prime Factorization of 59963

Now multiplying the highest exponent prime factors to calculate the LCM of 59946 and 59963.

LCM(59946,59963) = 2¹ × 3¹ × 97¹ × 103¹ × 61¹ × 983¹
LCM(59946,59963) = 3594541998