What is the Least Common Multiple of 76224 and 76240?

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 76224 and 76240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76224 and 76240, than apply into the LCM equation.

GCF(76224,76240) = 16
LCM(76224,76240) = ( 76224 × 76240) / 16
LCM(76224,76240) = 5811317760 / 16
LCM(76224,76240) = 363207360

Least Common Multiple (LCM) of 76224 and 76240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76224 and 76240. First we will calculate the prime factors of 76224 and 76240.

Prime Factorization of 76224

Prime Factorization of 76240

Now multiplying the highest exponent prime factors to calculate the LCM of 76224 and 76240.

LCM(76224,76240) = 2⁶ × 3¹ × 397¹ × 5¹ × 953¹
LCM(76224,76240) = 363207360