What is the Least Common Multiple of 59214 and 59229?

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 59229 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 59229, than apply into the LCM equation.

GCF(59214,59229) = 3
LCM(59214,59229) = ( 59214 × 59229) / 3
LCM(59214,59229) = 3507186006 / 3
LCM(59214,59229) = 1169062002

Least Common Multiple (LCM) of 59214 and 59229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59214 and 59229. First we will calculate the prime factors of 59214 and 59229.

Prime Factorization of 59214

Prime Factorization of 59229

Now multiplying the highest exponent prime factors to calculate the LCM of 59214 and 59229.

LCM(59214,59229) = 2¹ × 3² × 71¹ × 139¹ × 6581¹
LCM(59214,59229) = 1169062002