What is the Least Common Multiple of 59280 and 59294?

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 59280 and 59294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59280 and 59294, than apply into the LCM equation.

GCF(59280,59294) = 2
LCM(59280,59294) = ( 59280 × 59294) / 2
LCM(59280,59294) = 3514948320 / 2
LCM(59280,59294) = 1757474160

Least Common Multiple (LCM) of 59280 and 59294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59280 and 59294. First we will calculate the prime factors of 59280 and 59294.

Prime Factorization of 59280

Prime Factorization of 59294

Now multiplying the highest exponent prime factors to calculate the LCM of 59280 and 59294.

LCM(59280,59294) = 2⁴ × 3¹ × 5¹ × 13¹ × 19¹ × 23¹ × 1289¹
LCM(59280,59294) = 1757474160