What is the Least Common Multiple of 78214 and 78234?

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 78214 and 78234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78214 and 78234, than apply into the LCM equation.

GCF(78214,78234) = 2
LCM(78214,78234) = ( 78214 × 78234) / 2
LCM(78214,78234) = 6118994076 / 2
LCM(78214,78234) = 3059497038

Least Common Multiple (LCM) of 78214 and 78234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78214 and 78234. First we will calculate the prime factors of 78214 and 78234.

Prime Factorization of 78214

Prime Factorization of 78234

Now multiplying the highest exponent prime factors to calculate the LCM of 78214 and 78234.

LCM(78214,78234) = 2¹ × 39107¹ × 3¹ × 13¹ × 17¹ × 59¹
LCM(78214,78234) = 3059497038