What is the Least Common Multiple of 68946 and 68955?

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 68946 and 68955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68946 and 68955, than apply into the LCM equation.

GCF(68946,68955) = 3
LCM(68946,68955) = ( 68946 × 68955) / 3
LCM(68946,68955) = 4754171430 / 3
LCM(68946,68955) = 1584723810

Least Common Multiple (LCM) of 68946 and 68955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68946 and 68955. First we will calculate the prime factors of 68946 and 68955.

Prime Factorization of 68946

Prime Factorization of 68955

Now multiplying the highest exponent prime factors to calculate the LCM of 68946 and 68955.

LCM(68946,68955) = 2¹ × 3¹ × 11491¹ × 5¹ × 4597¹
LCM(68946,68955) = 1584723810