What is the Least Common Multiple of 60096 and 60103?

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 60096 and 60103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60096 and 60103, than apply into the LCM equation.

GCF(60096,60103) = 1
LCM(60096,60103) = ( 60096 × 60103) / 1
LCM(60096,60103) = 3611949888 / 1
LCM(60096,60103) = 3611949888

Least Common Multiple (LCM) of 60096 and 60103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60096 and 60103. First we will calculate the prime factors of 60096 and 60103.

Prime Factorization of 60096

Prime Factorization of 60103

Now multiplying the highest exponent prime factors to calculate the LCM of 60096 and 60103.

LCM(60096,60103) = 2⁶ × 3¹ × 313¹ × 60103¹
LCM(60096,60103) = 3611949888