What is the Least Common Multiple of 94424 and 94438?

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 94424 and 94438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94424 and 94438, than apply into the LCM equation.

GCF(94424,94438) = 2
LCM(94424,94438) = ( 94424 × 94438) / 2
LCM(94424,94438) = 8917213712 / 2
LCM(94424,94438) = 4458606856

Least Common Multiple (LCM) of 94424 and 94438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94424 and 94438. First we will calculate the prime factors of 94424 and 94438.

Prime Factorization of 94424

Prime Factorization of 94438

Now multiplying the highest exponent prime factors to calculate the LCM of 94424 and 94438.

LCM(94424,94438) = 2³ × 11¹ × 29¹ × 37¹ × 23¹ × 2053¹
LCM(94424,94438) = 4458606856