What is the Least Common Multiple of 73214 and 73234?

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 73214 and 73234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73214 and 73234, than apply into the LCM equation.

GCF(73214,73234) = 2
LCM(73214,73234) = ( 73214 × 73234) / 2
LCM(73214,73234) = 5361754076 / 2
LCM(73214,73234) = 2680877038

Least Common Multiple (LCM) of 73214 and 73234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73214 and 73234. First we will calculate the prime factors of 73214 and 73234.

Prime Factorization of 73214

Prime Factorization of 73234

Now multiplying the highest exponent prime factors to calculate the LCM of 73214 and 73234.

LCM(73214,73234) = 2¹ × 36607¹ × 7¹ × 5231¹
LCM(73214,73234) = 2680877038