What is the Least Common Multiple of 59214 and 59219?

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 59214 and 59219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59214 and 59219, than apply into the LCM equation.

GCF(59214,59219) = 1
LCM(59214,59219) = ( 59214 × 59219) / 1
LCM(59214,59219) = 3506593866 / 1
LCM(59214,59219) = 3506593866

Least Common Multiple (LCM) of 59214 and 59219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59214 and 59219. First we will calculate the prime factors of 59214 and 59219.

Prime Factorization of 59214

Prime Factorization of 59219

Now multiplying the highest exponent prime factors to calculate the LCM of 59214 and 59219.

LCM(59214,59219) = 2¹ × 3¹ × 71¹ × 139¹ × 59219¹
LCM(59214,59219) = 3506593866