What is the Least Common Multiple of 60234 and 60240?

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 60234 and 60240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60234 and 60240, than apply into the LCM equation.

GCF(60234,60240) = 6
LCM(60234,60240) = ( 60234 × 60240) / 6
LCM(60234,60240) = 3628496160 / 6
LCM(60234,60240) = 604749360

Least Common Multiple (LCM) of 60234 and 60240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60234 and 60240. First we will calculate the prime factors of 60234 and 60240.

Prime Factorization of 60234

Prime Factorization of 60240

Now multiplying the highest exponent prime factors to calculate the LCM of 60234 and 60240.

LCM(60234,60240) = 2⁴ × 3¹ × 10039¹ × 5¹ × 251¹
LCM(60234,60240) = 604749360