What is the Least Common Multiple of 59380 and 59390?

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 59380 and 59390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59380 and 59390, than apply into the LCM equation.

GCF(59380,59390) = 10
LCM(59380,59390) = ( 59380 × 59390) / 10
LCM(59380,59390) = 3526578200 / 10
LCM(59380,59390) = 352657820

Least Common Multiple (LCM) of 59380 and 59390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59380 and 59390. First we will calculate the prime factors of 59380 and 59390.

Prime Factorization of 59380

Prime Factorization of 59390

Now multiplying the highest exponent prime factors to calculate the LCM of 59380 and 59390.

LCM(59380,59390) = 2² × 5¹ × 2969¹ × 5939¹
LCM(59380,59390) = 352657820