What is the Least Common Multiple of 44234 and 44240?

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 44234 and 44240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44234 and 44240, than apply into the LCM equation.

GCF(44234,44240) = 2
LCM(44234,44240) = ( 44234 × 44240) / 2
LCM(44234,44240) = 1956912160 / 2
LCM(44234,44240) = 978456080

Least Common Multiple (LCM) of 44234 and 44240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44234 and 44240. First we will calculate the prime factors of 44234 and 44240.

Prime Factorization of 44234

Prime Factorization of 44240

Now multiplying the highest exponent prime factors to calculate the LCM of 44234 and 44240.

LCM(44234,44240) = 2⁴ × 17¹ × 1301¹ × 5¹ × 7¹ × 79¹
LCM(44234,44240) = 978456080