What is the Least Common Multiple of 24062 and 24080?

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 24062 and 24080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24062 and 24080, than apply into the LCM equation.

GCF(24062,24080) = 2
LCM(24062,24080) = ( 24062 × 24080) / 2
LCM(24062,24080) = 579412960 / 2
LCM(24062,24080) = 289706480

Least Common Multiple (LCM) of 24062 and 24080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24062 and 24080. First we will calculate the prime factors of 24062 and 24080.

Prime Factorization of 24062

Prime Factorization of 24080

Now multiplying the highest exponent prime factors to calculate the LCM of 24062 and 24080.

LCM(24062,24080) = 2⁴ × 53¹ × 227¹ × 5¹ × 7¹ × 43¹
LCM(24062,24080) = 289706480