What is the Least Common Multiple of 59078 and 59084?

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 59078 and 59084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59078 and 59084, than apply into the LCM equation.

GCF(59078,59084) = 2
LCM(59078,59084) = ( 59078 × 59084) / 2
LCM(59078,59084) = 3490564552 / 2
LCM(59078,59084) = 1745282276

Least Common Multiple (LCM) of 59078 and 59084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59078 and 59084. First we will calculate the prime factors of 59078 and 59084.

Prime Factorization of 59078

Prime Factorization of 59084

Now multiplying the highest exponent prime factors to calculate the LCM of 59078 and 59084.

LCM(59078,59084) = 2² × 109¹ × 271¹ × 14771¹
LCM(59078,59084) = 1745282276